Structure of certain classes of groups with locally cyclic Abelian subgroups
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We investigate groups with locally cyclic Abelian subgroups. We give a constructive description of locally solvable groups of this type that contain a nonidentity periodic part; we also describe locally solvable groups all Abelian subgroups of which are cyclic.
KeywordsFinite Group Cyclic Group Nilpotent Group Quotient Group Abelian Subgroup
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- 3.S. S. Levishchenko and N. F. Kuzennyi,Finite Groups with Systems of Dispersible Subgroups [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1997).Google Scholar
- 7.S. N. Chernikov, “Groups with given properties of systems of infinite subgroups,”Ukr. Mat. Zh.,19, No. 6, 111–131 (1967).Google Scholar
- 10.A. G. Kurosh,Theory of Groups [in Russian], Nauka, Moscow (1967).Google Scholar
- 13.M. F. Kuzennyi, “Biprimary nondispersible groups the order of which is divided by at most the cube of a prime number,”Dop. Akad. Nauk Ukr. SSR, Ser. A, No. 11, 973–977 (1974).Google Scholar