Journal of Siberian Federal University. Mathematics & Physics / Groups Satisfying the Minimal Condition for Non-abelian Non-normal Subgroups

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2014 7 (1)
Authors
Chernikov, Nikolai S.
Contact information
Chernikov, Nikolai S.:Institute of Mathematics, National Academy of Sciences of Ukraine, Tereschenkivska, 3, Kyiv-4, 01601, Ukraine;
Keywords
minimal conditions; non-normal subgroups; non-abelian; Chernikov; Artinian; Dedekind; Shunkov; solvable; periodic groups; weakly; binary; primitive; locally graded groups
Abstract

In the present paper, we establish that in a great many large and extremely large classes of groups, the non-abelian groups satisfying the mentioned condition are exactly the non-abelian Chernikov groups and the non-abelian solvable groups with normal non-abelian subgroups

Pages
22–34
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/10134