On solubility and supersolubility of some classes of finite groups.

DOI10.1007/S11425-009-0008-8zbMath1189.20023OpenAlexW2075357570MaRDI QIDQ1042900

Kar Ping Shum, Wen-Bin Guo, Alexander N. Skiba

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0008-8

zbMATH Keywords

soluble groupsfinite groupsmaximal subgroupsSylow subgroupssaturated formationspermutable subgroupsgeneralized Fitting subgroupsolubilitysupersolubilitysupersoluble groupspermutable embedded subgroups

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) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40)

Related Items (16)

ON p-NILPOTENCY OF FINITE GROUPS WITH SS-NORMAL SUBGROUPS ⋮ FINITE GROUPS WITH WEAKLY S-QUASINORMALLY EMBEDDED SUBGROUPS ⋮ On S_*-embedded subgroups of finite groups ⋮ On weakly \(S\)-embedded and weakly \(\tau\)-embedded subgroups. ⋮ \(S\)-semiembedded subgroups of finite groups. ⋮ Weakly \(S\)-semipermutable subgroups and \(p\)-nilpotency of groups ⋮ \(\mathfrak{F}_{\tau}\)-embedded and \(\mathfrak{F}_{\tau\phi}\)-embedded subgroups of finite groups ⋮ Finite groups with \(sn\)-embedded or \(s\)-embedded subgroups ⋮ On nearly \(SS\)-embedded subgroups of finite groups. ⋮ Finite groups with given nearly SΦ-embedded subgroups ⋮ \(S\)-embedded subgroups of finite groups. ⋮ Weakly \(SS\)-quasinormal minimal subgroups and the nilpotency of a finite group. ⋮ On g-s-supplemented subgroups of finite groups. ⋮ Onsse-embedded subgroups of finite groups ⋮ On weakly \(S\)-embedded subgroups of finite groups. ⋮ On \(p\)-supersolvability of finite groups.

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