Journal of Siberian Federal University. Mathematics & Physics / Сharacterizations of Layer-Finite Groups and Their Extensions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2009 2 (3)
Authors
Senashov, Vladimir I.
Contact information
Senashov, Vladimir I. Akademgorodok 50/44, Krasnoyarsk, 660036 Russia
Keywords
infinite groups; involutions; finiteness conditions
Abstract

In the paper we review the results characterizing layer-finite groups and almost layer-finite groups in the class of all groups. We also characterize the groups with layer-finite periodic parts, the groups with almost layer-finite periodic parts and the groups with generalized Chernikov periodic parts. Theorems describing the properties of quasi-layer-finite groups and simple quasi-layer-finite groups are provided.

Pages
279-287
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/1217