References
J. L. Alperin, A classification ofn-abelian groups. Canad. J. Math.21, 1238–1244 (1969).
R. Baer, Endlichkeitskriterien für Kommutatorgruppen. Math. Ann.124, 161–177 (1952).
R. Baer, Factorization ofn-soluble andn-nilpotent groups. Proc. Amer. Math. Soc.4, 15–26 (1953).
G. Baumslag, Some aspects of groups with unique roots. Acta Math.104, 217–303 (1960).
R.Brandl and L. C.Kappe, Onn-Bell groups. To appear in Comm. Algebra.
A.García Rodicio, Métodos homológicos en grupos Plocales. Ph. D. thesis, Universidad deSantiago de Compostela, Alxebra43, 1986.
O. Grün, Über eine charakteristische Untergruppe. Beiträge zur Gruppentheorie IV. Math Nachr.3, 77–94 (1949).
P.Hilton, G.Mislin and I.Roitberg, Localization of Nilpotent Groups and Spaces. Math. Studies15, Amsterdam 1975
P. Kahn etH. Scheerer, Localisation des groupes et des espaces nilpotents par des télescopes. C. R. Acad. Sci. Paris281, 419–422 (1975).
L. C. Kappe, Onn-Levi groups. Arch. Math.47, 198–210 (1986).
L. C. Kappe andR. F. Morse, Groups with 3-abelian normal closures. Arch. Math.51, 104–110 (1988).
F. W. Levi, Notes on group theory I and VII. J. Indian Math. Soc.8, 1–7 (1944), and9, 37–42 (1945).
I. Pop, A generalization of simple spaces. Rev. Roumaine Math.Pures Appl. (6)25, 925–932 (1980).
A.Reynol,p-localization of some classes of groups. Ph. D.thesis, IME Universidade de Sào Paulo 1987.
P. Ribenboim, Torsion et localisation de groupes arbitraires. LNM740, 444–456, Berlin-Heidelberg-New York 1979.
P. Ribenboim, Equations in groups, with special emphasis on localization and torsion, II. Portugal. Math. (4)44, 417–445 (1987).
C. Ronse etR. Teitler, Groupes dans lesquels l'élévationá une puissance entiére est unendomorphisme. Acad. Roy. Belg. Bull. Cl. Sci. (5)62, 539–564 (1976).
U.Stammbach, Homology in Group Theory. LNM359, Berlin-Heidelberg-New York 1973.
T. Tamura, FreeE-m groups and freeE-msemigroups. Proc. Amer. Math. Soc. (3)84, 318–324 (1982).
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Casacuberta, C. Localization of q-abelian groups. Arch. Math 53, 424–435 (1989). https://doi.org/10.1007/BF01324717
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DOI: https://doi.org/10.1007/BF01324717