On the groups, whose all subgroups with infinite special rank are transitively normal

TitleOn the groups, whose all subgroups with infinite special rank are transitively normal
Publication TypeJournal Article
Year of Publication2017
AuthorsSemko, NN, Velichko, TV
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2017.08.017
Issue8
SectionMathematics
Pagination17-19
Date Published8/2017
LanguageUkrainian
Abstract

The periodic soluble groups, whose subgroups with infinite special rank are transitively normal, and the struc ture of a periodic radical group, whose subgroups with infinite special rank are transitively normal, are described.

Keywordsfinite special rank, locally nilpotent radical, locally nilpotent residual, periodic group, soluble group, transitively normal subgroups
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