Literature Cited
G. K. Abbasi, “Central decompositions of finitep-groups with Abelian second center and center of orderp,”Vestn. MGU, Ser. Mat. Mekh., No. 2, 75–78 (1985).
G. K. Abbasi, “Central products of certain metabelianp-groups of maximal class,”Vestn. MGU, Ser. Mat. Mekh., No. 3, 14–18 (1988).
S. I. Adyan, “Studies on the Burnside problem and related questions,”Tr. Mat. Inst. Akad. Nauk SSSR,168, 171–196 (1984).
S. I. Adyan and A. A. Razborov, “Periodic groups and Lie algebra,”Usp. Mat. Nauk,42, No. 2, 3–68 (1987).
S. I. Adyan and N. N. Repin, “Lower estimates of the order of maximal periodic groups of prime period,”Mat. Zametki,44, No. 2, 161–175 (1988).
O. D. Artemovich,On Finite Nilpotent Groups with Complemented Non-Abelian Normal Subgroups [in Russian], Kiev (1984).
O. D. Artemovich, “Finite non-Abelianp-groups with complemnted non-Abelian normal subgroups,”Dokl. Akad. Nauk Ukr. SSR A., No. 3, 5–7 (1986).
O. D. Artemovich, “On finite non-Abelianp-groups with complemented non-Abelian normal subgroups,”Ukr. Mat. Zh.,38, No. 5, 640–643 (1986).
P. M. Beletskii, “On one class of finitep-groups,” In:Problems of Group Theory and Homologous Algebra [in Russian], Yaroslavl' (1985), pp. 3–13.
T. Ya. Berkovich, “Antichains of maximal length in a homocyclic group,” In:Problems of Group Theory and Homologous Algebra [in Russian], Yaroslavl' (1988), pp. 55–61.
Ya. G. Berkovich, “On finite metacyclic groups and groups similar to them,” In:Structural Properties of Algebraic Systems [in Russian], Nal'chik (1985), pp. 12–19.
Ya. G. Berkovich, “On finite homocyclic groups,” In:Problems of Group Theory and Homologous Algebra [in Russian], Yaroslavl' (1989), pp. 69–74.
Yu. V. Bondarchuk, “On characteristic properties of the basis of nonstationary interlacing of groups,” Kiev. Univ., Kiev, Deposited at UkrNIINTI, June 20, 1984, No. 1095Uk-84 (1984).
Yu. V. Bondarchuk, “Structure of automorphism groups of the Sylowp-subgroup of the symmetrical groupS p n (p=2),”Ukr. Mat. Zh.,36, No. 6, 688–694 (1984).
F. G. Vashchuk and P. M. Gudivok, “Integralp-adic representations of finite Abelianp-groups,”Dokl. Akad. Nauk Ukr. SSR A., No. 1, 3–6 (1986).
E. A. Golikova, “On finite 2-groups with uniquely generated normal closures,”Ural Politekhn. Inst. Sverdlovsk, Deposited at VINITI, Aug. 1, 1989, No. 5057-V89 (1989).
E. A. Golikova and A. I. Starostin, “On finite groups with uniquely generated normal subgroups,” In:Subgroup Structure of Groups [in Russian], Sverdlovsk (1988), pp. 45–54.
P. M. Gudivok and V. I. Pogoriliak, “Representation of finitep-groups over local rings of positive characteristic,”Dokl. Akad. Nauk Ukr. SSR A., No. 2, 5–8 (1989).
S. V. Draganyuk, “Finitep-groups with non-Abelian Frattini subgroups all 3-maximal subgroups of which are Abelian (p>3),” Kiev. Gos. Ped. Inst., Kiev, Deposited at UkrNIINTI, Nov. 13, 1989, No. 2562-Uk89 (1989).
S. V. Draganyuk, “On the problem of the structure of finite primary groups all 2-maximal subgroups of which are Abelian,” In:Complex Analysis, Algebra and Topology [in Russian], Inst. Mat., Akad. Nauk Ukr. SSR, Kiev (1990), pp. 42–51.
S. V. Draganyuk, “On the problem of the structure of the finite primary groups all 2-maximal subgroups of which are Abelian,” Kiev. Gos. Ped. Inst., Kiev, Doposited at UkrNIINTI, May 11, 1990, No. 813-Uk90 (1990).
A. D. Drozin, “Nilpotent groups containing a cyclic maximal Abelian normal subgroup,”Collection of Scientific Papers of the Cheliabinsk Politechnical Institute, No. 252 35–40 (1980).
B. M. Edigarian, “On the algebra of representations of finite cyclicp-groups,”Uch. Zap., Erevan Univ. Estestv. Nauki, No. 2 21–27 (1985).
E. I. Zel'manov, “On the weakened Burnside problem,”Sib. Mat. Zh.,30, No. 6, 68–74 (1989).
E. I. Zel'manov, “Solution of the weakened Burnside problem for groups of odd exponent,”Izv. Akad. Nauk SSSR, Ser. Mat.,54, No. 1, 49–59 (1990).
E. I. Zel'manov “Solution of the restricted Burnside problem for 2-groups,”Mat. Sb.,182, No. 4, 568–592 (1991).
F. A. Ivanov and A. I. Skopin, “Maximal 2-generated transmetabelian group of the first type of exponent 9,”Algebra Analiz,2, No. 6, 150–160 (1990).
A. S. Kondrat'ev, “Subgroups of finite Chevalley groups,”Usp. Mat. Nauk,41, No. 1, 57–96 (1986).
A. S. Kondrat'ev, A. A. Makhnev, and A. I. Starostin, “Finite groups,” In:Progress in Science and Technology, Series on Algebra, Topology, Geometry, Vol. 20, All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow (1986), pp. 3–120.
A. I. Kostrikin, “Finite groups,” In:Progress in Science and Technology, Series on Algebra, 1964, All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow (1966), pp. 7–46.
A. I. Kostrikin, “Lie algebra and finite groups,” In:Tr. Mat. Inst. Akad. Nauk SSSR,168, 132–154 (1984).
A. I. Kostrikin,Around Burnside [in Russian], Nauka, Moscow (1986).
Mazurov et al. (eds.), The Kourov Notebook: Unsolved Problems of the Theory of Groups, 10th Edition, Inst. Math., Siberian Dept. of the Academy of Sciences of the USSR, Novosibirsk (1986).
V. A. Kreknin and V. F. Malik, “On finitep-groups in which all maximal cyclic subgroups are completed,” In:Abstract of Reports on Group Theory, XIXAll-Union Algebraic Conf., L'vov, Sept. 9–11, 1987. Pt. 2, L'vov (1987), p. 148.
V. A. Kreknin and V. F. Malik, “On the structure of finitep-groups with completed maximal cyclic subgroups,” In:Abstract of Reports. on Group Theory, Int. Conf. on Algebra Dedicated to the Memory of A. P. Shirshov, Barnaul, Aug. 20–25, 1991, Novosibirsk (1991), p. 52.
V. A. Kreknin, A. V. Spivakovskii and V. F. Malik, “On one analog of Frattini subgroups,”Ukr. Mat. Zh.,43, No. 5, 607–611 (1991).
N. F. Kuzennyi and S. S. Levishchenko, “On one generalization of the Dedekind groups,” In:Abstract of Reports on Group Theory, Int. Conf. on Algebra Dedicated to the Memory of A. P. Shirshov, Barnaul, Aug. 20–25, 1991, Novosibirsk (1991), p. 54.
N. F. Kuzennyi and I. Ya. Subbotin,Finite Nilpotent Groups with Invariant Condition for Non-Abelian Normal Subgroups, Kiev. Politechn. Inst., Kiev, Deposited at UkrNIINTI, Jan. 15, 1985, No. 94-Uk85 (1984).
N. M. Kurnosenko, “Algorithm for obtaining the subgroups of finitep-groups,” In:Studies on the Normal and Subgroup Structure of Finite Groups [in Russian], Minsk (1984), pp. 102–104.
V. M. Levchuk, “Automorphisms of unipotent subgroups of Lie type of small ranks,”Algebra Logika,29, No. 2, 141–161 (1990).
V. M. Levchuk, “Automorphisms of unipotent subgroups of Chevalley groups,”Algebra Logika,29, No. 3, 315–338 (1990).
V. M. Levchuk, “Central series and series of commutants of certain subgroups of Chevalley groups,”Dokl. Akad. Nauk SSSR,313, No. 4, 799–802 (1990).
V. M. Levchuk, “Chevalley groups and their unipotent subgroups,”Thesis for the Degree of Doctor of Physics and Mathematics Novosibirsk (1991).
V. M. Levchuk, “Commutator structure of certain subgroups of Chevalley groups,”Ukr. Mat. Zh.,44, No. 6, 785–796 (1992).
N. N. Liashenko and A. I. Skopin, “Computer-aided graphical determination of collective Hall's formula for certain 2-generated groups,” In:Abstract of Reports on Group Theory, XIXAll-Union Algebraic Conf., L'vov, Sept. 9–11, 1987. Pt. 1, L'vov (1987), p. 168.
W. Magnus and B. Chandler,The History of Combinational Group Theory [Russian translation], Mir, Moscow (1985).
V. D. Mazurov, “Finite groups,” In:Progress in Science and Technology, Series on Algebra, Topology, Geometry, Vol. 14, All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow, (1976), pp. 5–56.
D. A. Malinin, “On integral representations ofp-groups over local fields,”Dokl. Akad. Nauk SSSR,309, No. 5, 1060–1063 (1989).
G. Zh. Mantashian, “Number of generators of finitep-groups and nilpotent torsion-free groups and dimensions of the associative rings and Lie algebras,”Matematika, No. 6 (1988).
Abstract of Reports on Group Theory, Int. Conf. on Algebra Dedicated to the Memory of A. I. Mal'tsev, Novosibirsk, Aug. 21–26, 1989, Novosibirsk (1989).
Abstract of Reports on Group Theory, Int. Conf. on Algebra Dedicated to the Memory of A. P. Shirshov, Barnaul, Aug. 20–25, 1991, Novosibirsk (1991).
Abstract of Reports, III Int. Conf. on Algebra Dedicated to the Memory of M. I. Kargapolov, Krasnoyarsk, Aug. 23–28, 1993, Krasnoyarsk (1993).
Yu. B. Mel'nikov, “On commutants of supercopiedp-groups,” In:Study of Algebraic Systems by Properties of Their Subsystems [in Russian], Sverdlovsk (1985), pp. 85–100.
Yu. B. Mel'nikov, “On quasicopied groups,” In:Structural Problems of Group Theory [in Russian], Sverdlovsk (1986), pp. 101–114.
Yu. B. Mel'nikov, “On the structure of supercopiedp-groups,”Algebra Logika,27, No. 4, 422–439 (1988).
Yu. B. Mel'nikov, “On the structure of ψ-automorphs,” In:Subgroup Structures of Groups, Ural Branch of the Academy of Sciences of the USSR, Sverdlovsk (1988), pp. 113–125.
Yu. B. Mel'nikov, “Quasicopiedp-groups with Abelian maximal subgroup,” In:Theoretical Group Studies, Ural Branch of the Academy of Sciences of the USSR, Sverdlovsk (1990), pp. 54–72.
K. G. Nekrasov,Elementary Proof of Wall's Result on the Structure of a Finite Group with a Large Number of Involutions, Kalinin. Gos. Univ., Kalinin, Deposited at VINITI, Feb. 8, 1984, No. 789-V84 (1983).
K. G. Nekrasov, “Structure of finite groups with a large number of involutions,” In:Problems of Group Theory and Homologous Algebra [in Russian], Yaroslavl (1985), pp. 23–35.
K. G. Nekrasov, “On finite 2-groups with a minor Frattini subgroup,” In:Logico-Algebraic Constructions [in Russian], Tverian State Univ., Tver' (1992), pp. 75–82.
K. G. Nekrasov and Ya. G. Berkovich, “A necessary and sufficient condition of cyclicity of Frattini subgroups of a finitep-group,” In:Problems of Group Theory and Homologous Algebra [in Russian], Yaroslavl' (1985), pp. 35–37.
B. A. Panferov, “On nilpotent groups with lower central factors of minimal ranks”,Algebra Logika,19, No. 6, 701–706 (1980).
O. S. Pilyavskaya, “Application of matrix problems to classification of groups of orderp 6,p>3,” In:Linear Algebra and Representation Theory [in Russian], Kiev (1983), pp. 86–99.
P. Puusemp, “On the definability of a primary Miller-Moreno group by its endomorphism group,”Izv. Akad. Nauk ESSR, Ser. Fiz., Mat.,33, No. 2, 176–181 (1984).
A. N. Skiba, “Local formations with given internal properties,”Thesis for Degree of Doctor of Physics and Mathematics, Minsk (1993).
A. N. Skiba and L. A. Shemetkov, “On hereditarily indecomposable group formations,”Dokl. Akad. Nauk BSSR,33, No. 7, 581–582 (1989).
A. I. Skopin, “Factors of nilpotent series of certain metabelian groups of primary exponent,”Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Akad. Nauk SSSR,132, 129–163 (1983).
A. I. Skopin,Computer-Aided Study of Nilpotent Series of Metabelian Groups of Exponent 27 [in Russian], Preprint No. R-12, Leningr. Branch, Mat. Inst. Akad. Nauk SSSR, Leningrad (1986).
A. I. Skopin, “Computer-aided study of metabelian 2-generated groups” In:Abstract of Reports, X All-Union Symp. on Group Theory, Gomel, Sept. 9–12, 1986, Minsk (1986), p. 212.
A. I. Skopin, “Computer (BESM-6)-aided investigations of the structure of nilpotent series of metabelian 2-generated groups of exponent 27,” In:Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Akad. Nauk SSSR,160, 247–256 (1987).
A. I. Skopin, “Symbolic calculations of certain 2-generated groups,” In:Abstract of Reports on Algebra Theory, XIX All-Union Algebraic Conf., L'vov, Sept. 9–11, 1987, Pt. 1, L'vov (1987), p. 257.
A. I. Skopin, “On computer-aided realization of calculations in metabelian groups,”Vestn. LGU, Ser. Mat., Mekh., Astron., No. 1, 20–23 (1988).
A. I. Skopin, “Maximal 2-generated transmetabelian groups of 1st type of exponent 8,” In:Abstract of Reports on Group Theory, International Conf. on Algebra Dedicated to the Memory of A. I. Mal'tsev, Novosibirsk, Aug. 21–26, 1989, Novosibirsk (1989), p. 112.
A. I. Skopin, “Lower central series of the maximal 2-generated transmetabelian group of type 1 of exponent 8,”Algebra Analiz,2, No. 5, 197–219 (1990).
A. I. Skopin, “Bases of free metabelian and transmetabelian groups,”Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Akad. Nauk SSSR,191, 126–139 (1991).
A. I. Skopin, “Graphic construction of collective formulas for certain types of groups,” In:Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Akad. Nauk SSSR,191, 140–151 (1991).
A. I. Skopin, “Computer-aided study of metabelian and transmetabelian groups of the Burnside type,”Thesis for Degree of Doctor of Physics and Mathematics, Saint Petersburg (1991).
A. V. Spivakovskii, “Finite 2-groups similar to Hamiltonian ones,” In:Structure of Groups and Properties of Their Subgroups [in Russian], Kiev (1986), pp. 94–100.
A. I. Starostin, “Finite 2-groups with a cyclic Frattini subgroup,” In:Works of Inst. of Mathematics and Mechanics, Ural Branch Russian Acad. of Sciences, Vol. 3 (1994), pp. 60–64.
D. Ya. Trebenko, “Nilpotent groups of class 2 with two generators,” In:Modern Analysis and Its Application [in Russian], Kiev (1989), pp. 201–208.
A. D. Ustyuzhaninov, “Finite 2-groups generated by an element and involution,” In:Subgroup Structure of Groups [in Russian], Sverdlovsk (1988), pp. 153–157.
E. I. Khukhro, “Finitep-groups allowing automorphism of orderp with a small number of fixed points,”Mat. Zametki,38, No. 5, 652–657 (1985).
E. I. Khukhro, “On locally nilpotent groups allowing a decomposing automorphism of prime order,”Mat. Sb.,130, No. 1, 120–127 (1985).
E. I. Khukhro, “Finitep-groups similar to groups of prime period,”Algebra Logika,25, No. 2, 227–240 (1986).
E. I. Khukhro, “Nilpotent periodic groups with near regular automorphisms of prime order,”Algebra Logika,26, No. 4, 502–517 (1987).
E. I. Khukhro, “On the Hughes problem for finitep-groups,”Algebra Logika,26, No. 5, 642–646 (1987).
E. I. Khukhro, “On the structure of finite decomposablep-groups,”Sib. Mat. Zh.,30, No. 6, 208–218 (1989).
E. I. Khukhro, “Nilpotentp-groups and their automorphisms,”Vopr. Algebry, No. 4, 51–60 (1989).
E. I. Khukhro,Nilpotent Groups and Their Automorphisms of Prime Order, Freiburg (1992).
S. A. Chunikhin and L. A. Shemetkov, “Finite groups,” In:Progress in Science and Technology, Series on Algebra, Topology, Geometry 1969, All-Union Institute for Scientific and Technical Information (VINITI), Akad. Nauk SSSR, Moscow (1971), pp. 7–70.
V. N. Shokuev, “Calculation of inversions on solution of subgroups of a finitep-group,”Rings and Modules. Limit Theorems of Probability Theory, Leningrad, No. 2, 92–97 (1988).
V. N. Shokuev, “Enumeration theory for finite nilpotent groups,” In:Int. Conf. on Algebra, Barnaul (1991), p. 129.
V. I. Yurchenko, “On finite M-2-groups,” In:Abstr. of Reports All-Union Algebraic Symp., Gomel', June 30–July 2, 1975, Pt. 1, Minsk (1975), p. 85.
M. Asaad, “On Abelian subgroups of finitep-groups”,Proc. Math. Phys. Soc. Egypt., No. 59, 173–176 (1985).
M. S. Audu, “The structure of permutation modules for transitivep-groups of degreep 2,”J. Algebra,117, No. 1, 227–239 (1988).
D. M. A. Avinó, M. E. Morgado, and P. O. Quintas, “Descomposición del grupo de automorphismos de unp-grupo Abeliano finito sobre su máxinop-subgrupo normal,”Cienc. Mat.,7, No. 1, 37–42 (1986).
D. M. A. Avinó and S. Rodriquez, “El grado de nilpotencia del máximop-subgrupo normal, del grupo de automorphismos de unp-grupo Abeliano finito de tipo (p m1,p m2,…,p mr) conm i−1=m i+1,i=1,2,…r,”Cienc. Mat.,6, No. 2, 51–55 (1985).
W. Bannuscher, “Über direkte Produkte vonk-regulärenp-Gruppen,”Beit. Algebra Geometrie,18, 101–113 (1984).
W. Bannuscher, “Überk-ϕ-regulärep-Gruppen,”Math. Nachr.,147, 7–17 (1988).
W. Bannuscher, “Über diek-Regularität beip-Gruppen undp-Gruppen maximaler Klasse,”Math. Nachr.,123, 323–333 (1985).
W. Bannuscher, “Über minimalek-irregulärep-Gruppen. I,”Wiss. Beitr. M., No. 46, 11–123 (1987).
W. Bannuscher, “Über minimalek-irregulärep-Gruppen. II,”Wiss. Beitr. M., No. 47, 61–78 (1987).
A. J. Bayes, J. Kautsky, and J. W. Wamsley, “Computation in nilpotent groups (application),”Lect. Notes Math.,372, 82–89 (1974).
H. Bechtel, “On semidirect products,”Commun. Algebra,19, No. 4, 1151–1163 (1991).
D. J. Benson and J. F. Carlson, “The cohomology of extraspecial groups,”Bull. London Math. Soc.,24, No. 3, 209–235 (1992).
Ja. G. Bercovic, “Onp-subgroups of finite symmetric and alternating groups,”Contemp. Math. 93, 67–76 (1989).
Ja. G. Bercovic, “On the number of subgroups of a given order in finitep-groups of exponentp,”Proc. Am. Math. Soc.,109, No. 4, 875–879 (1990).
F. R. Beyl, U. Felgner, and P. Schmid, “On groups occurring as center factor groups,”J. Algebra,61, 161–177 (1979).
F. R. Beyl and J. Tappe, “Group extensions, representations, and the Schur multiplicator,”Lect. Notes Math.,958, 278 (1982).
A. Bialostocki, “The nilpotency class of thep-Sylow subgroups of GL(n,q) where (p,q)=1,”Can. Math. Bull.,29, No. 2, 218–223 (1986).
N. Blackburn, “Groups of prime-power order having an Abelian centralizer of type (r, 1),”Monatsh. Math.,99, No. 1, 1–18 (1985).
N. Blackburn, “The derived group of a 2-group,”Math. Proc. Cambridge Philos. Soc.,101, No. 2, 193–196 (1987).
N. Blackburn and A. Espuelas, “The power structure of metabelianp-groups,”Proc. Am. Math. Soc.,92, No. 4, 478–484 (1984).
R. Brandl, “Conjugacy classes of subgroups inp-groups,”J. Austral. Math. Soc. A. 53, 294–303 (1992).
R. Brandl, A. Caranti, and C. M. Scoppola, “Metabelian thinp-groups,”Q. J. Math. Oxford, Second Ser.,43, No. 170, 157–173 (1992).
R. A. Bryce and J. A. Cossey, “A note on Hamiltonian 2-groups,”Rend. Semin. Mat. Univ. Podova,86, 175–182 (1991).
J. Buhler, R. Gupta, and J. Harris, “Isotropic subspaces for skew-forms and maximal Abelian subgroups ofp-groups”,J. Algebra,108, 269–279 (1987).
G. Butler, “A proof of Holt's algorithm,”J. Symb. Comput.,5, No. 3, 275–283 (1988).
J. J. Cannon, “A draft description of the group theory language Cayley,” In:Proc. ACM Symp. on Symb. and Algebr. Comput. (1976), pp. 66–84.
J. J. Cannon, “An introduction to the group theory language Cayley,” In:Comput. Group. Theory, London (1984), pp. 145–183.
A. Caranti, “Automorphism groups ofp-groups of class 2 and exponentp 2: a classification on 4 generators,”Ann. Mat. Pure Appl., No. 134, 93–146 (1983).
A. Caranti, “On the automorphism groups of certainp-groups of class 4,”Boll. Unione Mat. Ital. B,2, No. 2, 605–615 (1983).
A. Caranti, “Finitep-groups of exponentp 2 in which each element commutes with its endomorphic images,”J. Algebra,57, No. 1, 1–13 (1985).
A. Caranti and C. M. Scoppola, “A remark on the orders ofp-groups that are automorphism groups,”Boll. Unione Mat. Ital. A,4, No. 2, 201–207 (1990).
M. Cardin, “Su una classe di gruppi con molti sottogruppi quasinormali,”Rend. Semin. Mat. Univ. Padova,72, 157–161 (1984).
M. Cartwright, “Class and breadth of a finitep-group,”Bull. London Math. Soc.,19, No. 5, 425–430 (1987).
B. Chandler and W. Magnus,The History of Combinatorial Group Theory: A Case Study in the History of Ideas, Springer-Verlag, New York (1982).
W.-N. Chou, “Classification of metabelianp-groups,”Trans. Am. Math. Soc.,294, No. 1, 151–176 (1986).
W. F. Cody, “A Meier-Wunderli theorem forH p-subgroups,”Arch. Math.,44, No. 6, 493–502 (1985).
W. F. Cody, “Classification of 2-generator finite metabelianp-groups having a properH p-subgroup,”Arch. Math.,52, No. 2, 105–116 (1989).
S. B. Conlon, “A homotopy type of ap-group with cyclic centre,”J. Austral. Math. Soc. A,39, No. 1, 94–100 (1985).
K. Corradi and L. Héthelui, “On a class ofp-groups,”Ann. Univ. Sci. Budapest. Sec. Math.,27, 235–240 (1985).
K. Corradi and S. Szabó, “Keller's conjecture for certainp-groups,”J. Algebra,119, No. 1, 213–217 (1988).
T. G. Corsi, “Automorphisms fixing every normal subgroup of ap-group,”Boll. Unione Mat. Ital. A,4, No. 2, 245–252 (1985).
M. J. Curran, “Indecomposable 2-groups with all automorphisms central,”Bull. Austral. Math. Soc.,31, No. 3, 349–354 (1985).
M. J. Curran, “Automorphisms of certainp-groups (p is odd),”Bull. Austral. Math. Soc.,38, No. 2, 299–305 (1988).
M. J. Curran, “A note onp-groups that are automorphism groups,“ In:Pap. Proc. 2nd Int. Group Theory Conf., Bressanone, June 11–17, 1989, Rend. Circ. Mat. Palermo, Ser. 2,39, Suppl. No. 2B, 57–61 (1990).
R. M. Davitt and A. D. Otto, “On the automorphism group of a finitep-group with the central quotient meta-cyclic,”Proc. Am. Math. Soc.,30, 467–472 (1971).
R. M. Davitt and A. D. Otto, “On the automorphism group of a finite modularp-group,”Proc. Am. Math. Soc.,35, 399–404 (1972).
M. Deaconescu, “On a special class of finite 2-groups,”Glasgow Math. J.,34, No. 1, 127–131 (1992).
L. Di Martino and M. C. Tamburini, “Some remarks on the degrees of faithful irreducible representations of a finitep-group,”Geom. Dedic.,41, No. 2, 155–164 (1992).
M. Enguehard, “Obstructions etp-groupes de classe3,”Asterisque, Nos. 142–143 (1986).
A. Espuelas, “The complement of a Frobenius-Wielandt group,”Proc. London Math. Soc.,48, No. 3, 564–576 (1984).
A. Espuelas, “A non-Abelian Frobenius-Wielandt complement,”Proc. Edinburgh Math. Soc.,31, No. 1, 67–69 (1988).
Th. Exarchakos, “A generalization of a theorem of A. D. Otto,”Publ. Inst. Math.,33, 69–71 (1982–1983).
Th. Exarchakos, “Onp-groups of small order,”Publ. Inst. Math.,45 73–76 (1989).
G. Faina, “Suip-sottogruppi di Sylow di PSU (3,q 2),”Atti Semin. Mat. Fis. Univ. Modena,32, No. 2, 255–259 (1983).
V. Felsch, “A KWIC indexed bibliography on the use of computers in group theory and related topics,”Sigsam Bull.,11, No. 1, 23–86 (1978).
C. E. Ford, “Characters ofp-groups,”Proc. Am. Math. Soc.,101, No. 4, 595–601 (1987).
A. Franchetta, “Sulle representazioni modulari di unp-gruppo ciclico,”Mathematiche,39, Nos. 1–2, 181–188 (1984).
D. Frohardt, “Groups which produce generalized quadrangles,”J. Combin. Theory A,48, No. 1, 139–145 (1988).
S. P. Glasby, “2-Groups with every automorphism central”,J. Austral. Math. Soc. A,41, No. 2, 233–236 (1986).
N. Gupta and S. Sidki, “Some infinitep-groups,”Algebra Logika,22, No. 5, 584–589 (1983).
A. M. Hales and I. B. S. Passi, “The augmentation quotients of finite Abelianp-groups”,Contemp. Math.,93, 167–171 (1989).
G. Havas and T. Nicholson, In:Proc. 1976 ACM Symp. Symbol. and Algebraic Comput., New York (1976), pp. 9–14.
P. Z. Hermann, “On finitep-groups with isomorphic maximal subgroups”,J. Austral. Math. Soc. A,48, No. 2, 199–213 (1990).
L. Héthelyi, “Soft subgroups ofp-groups”,Ann. Univ. Sci. Budapest. Sec. Math.,27, 81–85 (1984–1985).
L. Héthelyi, “On linearp-groups of degreep”,Stud. Sci. Math. Hungary,23, Nos. 3–4, 369–373 (1988).
L. Héthelyi, “On subgroups ofp-groups having soft subgroups”,J. London Math. Soc.,41, No. 3, 425–437 (1990).
L. Héthelyi, “Some remarks on 2-groups having soft subgroups”,Stud. Sci. Math. Hungary,27, No. 3-4, 295–299 (1992).
S. V. Ivanov, “On the Burnside problem on periodic groups”Bull. Am. Math. Soc.,27, No. 2, 257–260 (1992).
R. James, “2-Groups of almost maximal class: Corrigendum,”J. Austral. Math. Soc. A,35, No. 3, 307 (1983).
R. James, M. F. Newman, and E. A. O'Brien, “The groups of order 128,”J. Algebra,129, No. 1, 136–159 (1990).
G. KarpilowsckyProjective Representations of Finite Groups, New York (1985).
H. J. Karzel and C. J. Maxson, “Fiberedp-groups”,Abh. Math. Semin., Univ. Hamburg,56, 1–9 (1986).
E. I. Khukhro, “Groups and Lie rings admitting almost regular automorphisms of prime order,”Suppl. Rend. Circolo Math. Palermo, Ser. 2, No. 23, 183–191 (1990).
H. Koch, “Zum Satz von Golod-Schafarewitsch,”J. Reine Angew. Math.,274/275, 240–243 (1975).
F. M. Kouwenhoven, “The λ-structure of the Green rings of cyclicp-groups,” In:Arcata Conf. Represent. Finite Groups. Proc. Summer Res. Inst., Arcata, California, July 7–25, 1986. Pt. 1, Providence (1987), pp. 451–466.
L. G. Kovács and C. R. Leedham-Green, “Some normally monomialp-groups of maximal class and large derived length,”Q. J. Math.,37, No. 145, 49–54 (1986).
T. Y. Lam, “On the number of solutions ofx p k=a in ap-group”,Ill. J. Math.,32, No. 3, 575–583 (1988).
C. M. Lazo and M. E. Morgado “Sobre losp-groups de Sylow del groupo le automorfismos de unp-grupo homociclico finito de rango 2”,Cienc. Mat.,8, No. 2, 81–87 (1987).
C. R. Leedham-Green, “On the classification ofp-groups of maximal class”,Q. J. Math.,35, No. 139, 293–304 (1984).
F. Leinen, “Chief series and right regular representations of finitep-groups”,J. Austral. Math. Soc. A,44, No. 2, 225–232 (1988).
P. Lentoudis, “Determination du groupe des automorphismes dup-groupe de Sylow du groupe symmetrique de degrep m: l'idee de la methode”,Math. Repts Acad. Can.,7, No. 1, 67–71 (1985).
P. Lentoudis, “Le groupe des automorphismes dup-groupe de Sylow du groupe symmetrique de degrep m: resultats”,Math. Repts Acad. Sci. Can.,7, No. 2, 133–136 (1985).
P. Lentoudis, “Errata de l'article “Determination du groupe des automorphismes dep-groupe de Sylow du groupe symmetrique de degrep m: l'idee de la methode”,Math. Repts Acad. Sci. Can.,7, No. 5, 325 (1985).
A. Leone, “p-Gruppi finiti minimali non-KG”,Mathematiche,38, Nos. 1–2, 191–200 (1983).
P. Longobardi and M. Maj, “Una proprieta deip-gruppi, metaciclici”,Rend. Acad. Sci. Fis. Mat. Soc. Naz. Sci., Lett. Arti Napoli,51, No. 2, 9–14 (1984).
A. Lubotzky and A. Mann, “Powerfulp-groups. I. Finite groups”,J. Algebra,105, 484–505 (1987).
I. D. Macdonald, “More onp-groups of Frobenius type,”Isr. J. Math.,56, No. 3, 335–344 (1986).
D. MacHale, “Some finite groups which are rarely automorphism groups. II,”Proc. Roy. Irish Acad. A,83, No. 2, 189–196 (1983).
K. A. Mahdavi, “A classification of 2-generator 2-groups with many subgroups 2-subnormal”,Commun. Algebra,15, No. 4, 713–750 (1987).
J. J. Malone, “A non-Abelian 2-group whose endomorphisms generate a ring, and other examples ofE-groups”,Proc. Edinburgh Math. Soc. A,23, 57–79 (1980).
J. J. Malone, “p-Groups with non-Abelian automorphism groups and all automorphisms central,”Bull. Austral. Math. Soc.,29, No. 1, 35–37 (1984).
A. Mann, “Generators ofp-groups”,London Math. Soc. Lect. Note Ser., No. 121, 273–281 (1986).
A. Mann, “Groups with small Abelian subgroups”,Arch. Math.,50, No. 3, 210–213 (1988).
A. Mann,Some Applications of Powerful p-Groups, St. Andrews (1989).
A. Mann, “On the power structure of somep-groups’,Suppl. Rend. Circolo Math. Palermo, Ser. 2, No. 23, 227–235 (1990).
A. Mann, “Some applications of powerfulp-groups”,London Math. Soc. Lect. Note Ser., No. 160, 370–385 (1991).
O. Manz and R. Staszewski, “On the number of generators and the modular group-ring of a finite group”,Proc. Am. Math. Soc.,98, No. 2, 189–195 (1986).
U. Martin, “Almost allp-groups have automorphism group ap-group”,Bull. Am. Math. Soc.,15, No. 1, 78–82 (1986).
J. McCool, “The coherence number of 2-groups”,Can. Math. Bull.,33, No. 4, 503–508 (1990).
S. McKay, “On the structure of a special class ofp-groups”,Q. J. Math.,38, No. 152, 489–502 (1987).
S. McKay, “On the structure of a special class ofp-groups. II”,Q. J. Math. Oxford, Second Ser.,41, No. 164, 431–438 (1990).
F. Menegazzo, “Un problema sul gruppo degli automorfismi di unp-gruppo, finito”,Rend. Semin. Mat. Univ. Padova,69, 1–6 (1983).
K. Miyake, “A family of finite nilpotent groups”,Proc. Jpn. Acad. A,60, No. 7, 269–272 (1984).
K. Miyake, “The application of the principal ideal theorem, top-groups”,Nagoya Math. J.,99, 73–88 (1985).
W. Mio, “Nonlineary equivalent representations of quaternionic 2-groups”,Trans. Am. Math. Soc.,315, No. 1, 306–321 (1989).
M. E. Morgado and C. M. Lazo, “Sobre losp-grupos de Sylow del grupo de automorfismos de unp-grupo homociclico finito”,Cienc. Mat.,6, No. 1, 35–44 (1985).
M. F. Newman, “Bibliography (Compiled for Proceedings of the Burnside Workshop)”,Lect. Notes Math.,806, 255–274 (1980).
M. F. Newman, “Metabelian groups of prime-power exponent”,Lect. Notes Math.,1098, 87–98 (1984).
M. F. Newman and E. A. O'Brien, “A CAYLEY library for the groups of order dividing 128,” In:Group Theory: Proc. Singapore Group Theory Conf., June 8–19, 1987, Berlin-New York (1989), pp. 437–442.
M. F. Newman and E. A. O'Brien, “Wielandt length of some 3-groups”,SIGSAM Bull.,25, No. 1, 50–51 (1991).
M. F. Newman and E. A. O'Brien, “A computer-aided analysis of some finitely presented groups”,J. Austral. Math. Soc. A,53, No. 3, 369–376 (1992).
M. F. Newman and Ming-Yao Xu, “Metacyclic groups of prime-power order”,Adv. Math.,17, No. 1, 106–107 (1988).
M. F. Newman and Ming-Yao Xu,Metacyclic Groups of Prime-Power Order, Preprint (1990).
M. F. Newman and Ming-Yao Xu, “Metacyclic groups of prime-power order (research announcement)”,Adv. Math. (Beijing),17, No. 1, 106–107 (1988).
E. A. O'Brien, “A computer based description of 2-groups,”Austral. Math. Soc. Gaz.,15, No. 1, 1–5 (1988).
E. A. O'Brien, “Thep-group generation algorithm”,J. Symb. Comput.,9, Nos. 5–6, Pt. 1, 677–698 (1990).
E. A. O'Brien, “Providing electronic access to group descriptions”,SIGSAM Bull.,25, No. 1, 52–56 (1991).
E. A. Ormerod, “The Wielandt subgroup of metacyclicp-groups”,Bull. Austral. Math. Soc.,42, No. 3, 499–510 (1990).
E. A. Ormerod, “Groups of Wielandt length two”,Math. Proc. Cambridge Phil. Soc.,110, No. 2, 229–244 (1991).
T. G. Ostrom, “Quaternion groups and translation planes related to the solvable nearfield planes,”Mitt. Math. Semin. Giessen, No. 165, 119–134 (1984).
P. P. Palfy and M. Szalay, “The distribution of the character degrees of the symmetricp-groups,”Acta Math. Hungar.,41, Nos. 1–2, 137–150 (1983).
V. Pannone, “On the partitions of finitep-groups,”Atti Acad. Naz. Lincei.,82, No. 1, 1–5 (1989).
G. Pazderskii, “The cyclic length of ap-group need not be logarithmic,”Acta Math. Hungar.,52, Nos. 1–2, 45–48 (1988).
W. J. Ralph, “The coherence number of a finite group,”J. Algebra,126, No. 1, 61–79 (1989).
L. Redei,Endlich p-Gruppen, Akad. Kiadó, Budapest (1989).
D. M. Rocke, “p-Groups with Abelian centralizers,”Proc. London Math. Soc.,30, No. 3, 55–75 (1975).
K. W. Roggenkamp, “Picard groups of group rings, in particularp-groups,”J. Indian Math. Soc.,49, Nos. 3–4, 219–230 (1985(1987)).
H. Sasaci, “Periodic modules of large periods for extra-specialp-groups,”Hokkaido Math. J.,19, No. 3, 461–479 (1990).
C. M. Scoppola, “On generalized Frobenius complements,”London Math. Soc., Lect. Note Ser., No. 121, 305–306 (1986).
C. M. Scoppola, “An example of a non-Abelian Frobenius-Wielandt complement,”Lect. Notes Math.,1281, 151–157 (1987).
C. M. Scoppola, “Abelian generalized Frobenius complements forp-groups and the Hughes problem,”Arch. Math.,50, No. 4, 302–314 (1988).
C. M. Scoppola, “Groups of prime-power order as Frobenius-Wielandt complements,”Trans. Am. Math. Soc.,325, No. 2, 855–874 (1991).
S. Shahriari, “On normal subgroups of capable groups,”Arch. Math.,48, No. 3, 193–198 (1987).
M. C. Slattery, “Character degrees and derived length inp-groups,”Glasgow Math. J.,30, No. 2, 221–230 (1988).
G. R. Subit, M. E. Morgado, and A. F. Hernández, “Nûmero minimo de generadores de un subgruppo de Sylow del gruppo de automorfismos de unp-gruppo Abeliano de tipo [p m1, pm2,…, pmr] conm i=mi+1+1,”Cienc. Mat.,8, No. 1, 37–48 (1987).
G. R. Subit, M. E. Morgado, and A. F. Hernández, “Nûmero minimo de generadores de un subgruppo de Sylow del gruppo de automorfismos de unp-gruppo Abeliano de tipo [p m1, pm2,…, pmr] conm i> mi+1+1,”Cienc. Mat.,8, No. 3, 5–15 (1987).
G. R. Subit, M. E. Morgado, and M. S. Rodríguez-Maribona, “Nûmero minimo de generadores del gruppo nuclear de automorfismos de unp-gruppo Abeliano finito en el caso enqueG estrictamente heterociclico,”Cienc. Mat.,7, No. 2, 11–16 (1986).
R. M. Thomas, “On 2-groups of small rank admitting an automorphism of order 3,”J. Algebra,125, No. 1, 27–35 (1989); “On 2-groups of small rank admitting an automorphism of prime orderp>3,”J. Algebra,125, No. 1, 1–12 (1989).
M. R. Vaughan-Lee, “The restricted Burnside problem,”Bull. London Math. Soc.,17, No. 2, 113–133 (1985).
M. R. Vaughan-Lee,The Restricted Burnside Problem, Clarendon Press, Oxford Univ. Press, New York (1990).
M. R. Vaughan-Lee, “Collection from the left,”J. Symb. Comput.,9, Nos. 5–6, Pt. 1, 725–733 (1990).
M. R. Vaughan-Lee and J. Wiegold, “Generation ofp-groups by elements of bounded breadth,”Proc. Roy. Soc. Edinburgh A,95, Nos. 3–4, 215–221 (1983).
A. Vera-López, “The number of conjugacy classes in a finite nilpotent group,” In:Rend. Semin. Math. Univ. Padova, No. 73 (1985), pp. 209–216.
A. Vera-López, “On the number of conjugacy classes in a finitep-group,”Hokkaido Math. J.,18, No. 3, 477–485 (1989).
A. Vera-López and J. M. Arregi, “Classes de conjugaison dans lesp-sous-groupes de Sylow de GL (n,q),”C. R. Acad. Sci. Sér. 1. Math.,310, No. 3, 81–84 (1990).
A. Vera-López and J. M. Arregi, “Conjugacy classes in Sylowp-subgroups of GL (n,q),”Proc. Roy. Soc. Edinburgh. A,119, Nos. 3–4, 343–346 (1991).
A. Vera-López and G. A. Fernandes-Alcober, “Onp-groups of maximal class. III,”Math. Proc. Cambridge Phil. Soc.,109, No. 3, 489–507 (1991).
A. Vera-López and M. C. Larrea, “On the number of conjugacy classes in a finitep-group,”Arch. Math.,53, No. 2, 126–133 (1989).
A. Vera-López and B. Larrea, “Onp-groups of maximal class,”J. Algebra,137, No. 1, 77–116 (1991).
L. Verardi, “Due sottoclassi di gruppi semiextraspeciali,”Boll. Unione Mat. Ital. D,4, No. 1, 85–121 (1985).
L. Verardi, “Una classe di gruppi finiti di exponentep in cui ogni sottogruppo normale é caratteristico,”Boll. Unione Mat. Ital. B,4, No. 1, 307–317 (1985).
L. Verardi, “Gruppi semiextraspeciali di esponentep,”Ann. Mat. Pura Appl.,148, 131–171 (1987).
L. Verardi, “On groups whose noncentral elements have the same finite number of conjugates,”Boll. Unione Mat. Ital. A, No. 3, 391–400 (1988).
R. W. van der Waal, “Onp-nilpotent focing groups,”Boll. Unione Mat. Ital. A, No. 3, 367–384 (1991).
R. Wang, “On the power structure of finitep-groups,”Acta Math. Sin.,29, No. 6, 847–852 (1986).
D. Wilkinson, “The group of exponentp and orderp τ (p any prime),”J. Algebra,118, No. 1, 109–119 (1988).
Changcheng Xiao, “A conjecture on the automorphism group of a finitep-group,”Rend. Circ. Mat. Palermo, Ser. 2,39, No. 23, 347–351 (1989).
Min-Yao Xu, “On the power structure of finite 3-groups,”Acta Math. Sin.,27, No. 6, 721–729 (1984).
Min-Yao Xu, “Several problems on finitep-groups,”Adv. Math.,14, No. 3, 205–226 (1985)
Min-Yao Xu, “P. Hall's basis theorem for regularp-groups and its application to some classification problems,”Commun. Algebra,19, No. 4, 1271–1280 (1991).
I. O. York, “The exponent of certain finitep-groups,”Proc. Edinburgh Math. Soc. A,33, No. 3, 483–490 (1990).
Additional information
Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 28, Algebra-5, 1995.
Rights and permissions
About this article
Cite this article
Starostin, A.I. Finite p-groups. J Math Sci 88, 559–585 (1998). https://doi.org/10.1007/BF02365317
Issue Date:
DOI: https://doi.org/10.1007/BF02365317