On \(S\)-permutably embedded subgroups of finite groups.

DOI10.1007/s00605-013-0497-yzbMath1294.20024OpenAlexW2070159463MaRDI QIDQ387558

Adolfo Ballester-Bolinches, Yang Ming Li

Publication date: 23 December 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0497-y

zbMATH Keywords

soluble groupsfinite groupsmaximal subgroups\(p\)-subgroupsSylow subgroupsminimal subgroupspermutable subgroupssubgroup embedding propertiessupersolubility\(S\)-permutability

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

A note on a result of Kong about \(p\)-nilpotency ⋮ On regular subgroup functors of finite groups ⋮ ON WEAKLY -PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS ⋮ Finite groups with \(S\)-quasinormally embedded or \(SS\)-quasinormal subgroups. ⋮ The influence of ℳ-supplemented subgroups on the structure of chief factors of finite groups ⋮ On \(S\)-semipermutable or \(S\)-permutably embedded subgroups of finite groups ⋮ A note on \(S\)-quasinormally embedded subgroups.

Cites Work

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• Finite soluble groups
• Sufficient conditions for supersolubility of finite groups
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• On \(p\)-nilpotency of finite groups with some subgroups \(\pi\)-quasinormally embedded.
• Finite Groups with Some Subgroups of Prime Power OrderS-Quasinormally Embedded
• PROPERTIES OF SUBGROUPS OF SOLVABLE GROUPS THAT IMPLY THEY ARE NORMALLY EMBEDDED
• Finite Groups with SomeS-quasinormally Embedded Subgroups
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.
• On \(S\)-quasinormally embedded subgroups of finite groups

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