Abstract
Descriptions are obtained for the structure of finite nonsolvable groups in which all subgroups of nonprimary index are completely factorable and the structure of infinite, locally finite groups in which each not completely factorable subgroup has a primary supplement.
Similar content being viewed by others
Literature cited
V. V. Atamas', “Finite solvable groups in which all subgroups of nonprimary index are completely factorable,” in: Studies of Groups with Restrictions on Subgroups [in Russian], Institute of Mathematics, Academy of Sciences of the UkrSSR, Kiev (1988), pp. 4–16.
A. Broshi, “Finite groups whose Sylow subgroups are Abelian,” J. Algebra,17, No. 1, 74–82 (1971).
D. Gorenstein, Finite Simple Groups: An Introduction to Their Classification [Russian translation], Mir, Moscow (1985).
V. M. Busarkin and Yu. M. Gorchakov, Finite Groups Admitting a Partition [in Russian], Nauka, Moscow (1968).
A. Yu. Ol'shanskii, “Infinite groups with cyclic subgroups,” Dokl. Akad. Nauk SSSR, Ser. Mat.,245, No. 4, 785–787 (1979).
Yu. M. Gorchakov, “Primitively factorable groups,” Uch. Zap. Perm. Univ.,17, 15–31 (1960).
É. S. Alekseeva, “Infinite nonprimary factorable groups,” in: Some Questions in Group Theory [in Russian], Institute of Mathematics, Academy of Sciences of the UkrSSR, Kiev (1975), pp. 123–140.
G. A. Malan'ina, V. I. Khlebutina, and G. S. Shevtsov, “Finite minimal not completely factorable groups,” Mat. Zametki,12, No. 2, 157–162 (1972).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 302–308, March, 1990.
Rights and permissions
About this article
Cite this article
Atamas', V.V. Groups in which all not completely factorable subgroups have a primary supplement. Ukr Math J 42, 269–273 (1990). https://doi.org/10.1007/BF01057007
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01057007