Groups with a strongly embedded subgroup saturated with finite simple non-abelian groups

DOI10.26516/1997-7670.2020.31.132zbMath1437.20035OpenAlexW3011414383MaRDI QIDQ2307929

Alekseĭ Anatol'evich Shlëpkin

Publication date: 25 March 2020

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://mathizv.isu.ru/en/article/file?id=1335

zbMATH Keywords

periodic groupShunkov groupstrongly embedded subgroupgroups saturated with given set of groupsBender's theorem

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Finite simple groups and their classification (20D05)

Related Items (6)

On periodic Shunkov's groups with almost layer-finite normalizers of finite subgroups ⋮ Groups saturated with finite Frobenius groups with complements of even order ⋮ Locally finite groups saturated with direct product of two finite dihedral groups ⋮ Shunkov groups saturated with almost simple groups ⋮ On periodic groups saturated with finite Frobenius groups ⋮ On two properties of Shunkov group

Cites Work

• Two nonsimplicity criteria for groups with an infinitely isolated subgroup
• Groups saturated by sets of groups.
• On Shunkov groups saturated with finite groups
• On periodic groups saturated by finite simple groups.
• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• On infinite groups with a given strongly isolated 2-subgroup
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