Geodesic
Сharacterizations of Layer-Finite Groups and Their Extensions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 3, pp. 279-287

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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.
Keywords: infinite groups, finiteness conditions.
Mots-clés : involutions 
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Vladimir I. Senashov. Сharacterizations of Layer-Finite Groups and Their Extensions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 3, pp. 279-287. http://geodesic.mathdoc.fr/item/JSFU_2009_2_3_a2/