On groups with a strongly imbedded subgroup having an almost layer-finite periodic part.

DOI10.1007/s11253-012-0656-7zbMath1260.20048OpenAlexW1986373750MaRDI QIDQ1928471

V. I. Senashov

Publication date: 3 January 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0656-7

zbMATH Keywords

periodicitystrongly embedded subgroupsinfinite groupsfiniteness conditionsShunkov groupslayer-finiteness

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34)

Related Items (4)

On periodic Shunkov's groups with almost layer-finite normalizers of finite subgroups ⋮ On Sylow subgroups of some Shunkov groups ⋮ On periodic groups of Shunkov with the Chernikov centralizers of involutions ⋮ Characterizations of the groups with almost layer-finite periodic parts

Cites Work

• On Shunkov groups with a strongly embedded subgroup.
• Infinite groups saturated by Frobenius subgroups
• On periodic groups with Abelian centralizers of involutions
• The structure of an infinite Sylow subgroup in some periodic Shunkov groups
• Almost layer-finiteness of the periodic part of groups without involutions
• On infinite groups with a given strongly isolated 2-subgroup
• Two criteria for nonsimplicity of a group possessing a strongly embedded subgroup and a finite involution
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