On Shunkov groups with a strongly embedded subgroup.

DOI10.1134/S0081543809070190zbMath1238.20057MaRDI QIDQ764746

V. I. Senashov

Publication date: 14 March 2012

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

periodicitystrongly embedded subgroupsinfinite groupsfiniteness conditionsShunkov groupslayer-finiteness

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Other classes of groups defined by subgroup chains (20F22) Local properties of groups (20E25)

Related Items (4)

On periodic Shunkov's groups with almost layer-finite normalizers of finite subgroups ⋮ On Sylow subgroups of some Shunkov groups ⋮ On groups with a strongly imbedded subgroup having an almost layer-finite periodic part. ⋮ Characterizations of the groups with almost layer-finite periodic parts

Cites Work

• Two nonsimplicity criteria for groups with an infinitely isolated subgroup
• On a strongly embedded infinitely isolated subgroup of a periodic group
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