Literature cited
S. N. Chernikov, "Finitude conditions in the general theory of groups," UMH,14, No. 5, 45–96 (1959).
S. N. Chernikov, "Investigation of groups with given properties of their subgroups," Ukrainsk. Matem. Zh.,21, No. 2, 193–209 (1969).
V. P. Shunkov, "On the minimality problem for locally finite groups," Algebra i Logika,9, No. 2, 220–248 (1970).
I. L. Alperin, "Finite groups with quasi-dihedral Sylow 2-subgroups," Symposium on the Theory of Finite Groups, ed. R. Brauer and C.-H. Sah, Benjamin (1969), pp. 21–24.
H. Bender, "Finite groups having strongly embedeed subgroups," Symposium on the Theory of Finite Groups, ed. R. Brauer and C.-H. Sah, Benjamin (1969), pp. 21–24.
W. Feit and I. Thompson, "Solvability of groups of odd order," Pacific J. Math.,13, 775–1029 (1963).
S. N. Chernikov, "On locally solvable groups satisfying a minimality condition for subgroups," Matem. Sb.,28, No. 1, 119–129 (1951).
D. Gorenstein, Finite Groups, Harper and Row, New York (1968).
G. Glauberman, "Central elements in core-free groups," J. Algebra,4, 403–420 (1966).
A. G. Kurosh, Theory of Groups, third edition [in Russian], Nauka (1967).
M. Hall, Group Theory [Russian translation], IL (1962).
V. P. Shunkov, "On generalizations of the Frobenius Theorem on periodic groups," Algebra i Logika, Seminar,6, No. 3, 113–123 (1967).
R. Brauer and M. Suzuki, "On finite groups of even order whose 2-Sylow group is a quarternion group," Proc. Nat. Acad. Sci. USA,45, 1757–1759 (1959).
S. N. Chernikov, "On infinite special groups with finite center," Matem. Sb.,17, 105–130 (1945).
S. N. Chernikov, "On periodic groups of automorphisms of extremal groups," Matem. Zametki,4, No. 1, 91–96 (1968).
V. P. Shunkov, "On locally finite groups with extremal Sylow p-subgroups for some prime p," Sibirsk. Matem. Zh.,8, No. 1, 213–229 (1967).
L. E. Dickson, Linear Groups, Dover, New York (1958).
M. I. Kargapolov, "Locally finite groups possessing normal systems with finite factors," Sibirsk. Matem. Zh.,2, 853–873 (1961).
N. N. Myagova, "On groups of finite rank," Izv. Akad. Nauk SSSR,13, 495–512 (1949).
P. S. Novikov and S. I. Adyan, "On finite periodic groups," Izv. Akad. Nauk SSSR, Ser. Matem.,32, Nos. 1, 2, 3 (1968).
P. S. Novikov and S. I. Adyan, "On commutative subgroups and the conjugacy problem in free periodic groups of odd order," Izv. Akad. Nauk SSSR, Ser. Matem.,32, No. 5 (1968).
R. Brauer, "Some applications of the theory of block characters of finite groups II," J. Algebra,1, 307–334 (1964).
I. Thompson, "Finite groups with fixed-point free automorphisms of prime order," Proc. Nat. Acad. Sci. USA,45, 578–581 (1959).
M. Suzuki, "Two characteristic properties of ZZ-groups," Oska Math. J.,15, 143–150 (1963).
M. Suzuki, "Finite groups of even order in which Sylow 2-groups are independent," Ann. Math.,80, 58–77 (1964).
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Translated from Algebra i Logika, Vol. 9, No. 5, pp. 579–615, September–October, 1970.
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Shunkov, V.P. On locally finite groups with a minimality condition for Abelian subgroups. Algebr Logic 9, 350–370 (1970). https://doi.org/10.1007/BF02321899
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DOI: https://doi.org/10.1007/BF02321899