On \(\pi\)-quasinormally embedded subgroups of finite group.

DOI10.1016/j.jalgebra.2004.06.026zbMath1079.20026OpenAlexW2014634863MaRDI QIDQ706000

Yang Ming Li, Yan Ming Wang

Publication date: 16 February 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.06.026

zbMATH Keywords

Sylow subgroupssaturated formationsgeneralized Fitting subgroupsupersolubility\(\pi\)-quasinormality

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) Subnormal subgroups of abstract finite groups (20D35)

Related Items (42)

On \(\mathcal F\Phi^*\)-hypercentral subgroups of finite groups. ⋮ ON WEAKLY s-PERMUTABLY EMBEDDED SUBGROUPS OF FINITE GROUPS II ⋮ Finite groups with \(E\)-supplemented subgroups. ⋮ On \(S\)-permutably embedded subgroups of finite groups. ⋮ A generalized CAP-subgroup of a finite group. ⋮ On an extension of the Frobenius' theorem about \(p\)-nilpotency of a finite group. ⋮ The influence of weakly \(\sigma \)-permutably embedded subgroups on the structure of finite groups ⋮ On finite groups with prime-power order \(S\)-quasinormally embedded subgroups. ⋮ On nearly \(S\)-permutably embedded subgroups of finite groups. ⋮ Finite groups with \(sn\)-embedded or \(s\)-embedded subgroups ⋮ FINITE GROUPS WITH SOME WEAKLY S-SUPPLEMENTED SUBGROUPS ⋮ OnSQ-Supplemented Subgroups of Finite Groups ⋮ New Characterizations ofp-Supersolubility of Finite Groups ⋮ On \(ss\)-quasinormal or weakly \(s\)-permutably embedded subgroups of finite groups ⋮ Onc*-Normal Subgroups ofp-Power Order in a Finite Group ⋮ Groups with maximal subgroups of Sylow subgroups \(\sigma\)-permutably embedded ⋮ \(c^*\)-quasinormally embedded subgroups of finite groups. ⋮ \(s\)-permutably embedded subgroups and \(p\)-supersolvable groups. ⋮ On weakly \(s\)-normal subgroups of finite groups. ⋮ Weakly \(SS\)-quasinormal minimal subgroups and the nilpotency of a finite group. ⋮ On \(s\)-quasinormally embedded and weakly \(s\)-supplemented subgroups of finite groups. ⋮ Weakly normal subgroups of finite groups. ⋮ S-quasinormality of finite groups. ⋮ FINITE GROUPS WITH SOME SEMI-p-COVER-AVOIDING OR S-QUASINORMALLY EMBEDDED SUBGROUPS ⋮ The structure of finite groups with weakly \(c\)-normal subgroups ⋮ \(\pi\)-quasinormally embedded and c-supplemented subgroup of finite group. ⋮ On Weaklys-permutably Embedded Subgroups of Finite Groups ⋮ On S-quasinormal and c-normal subgroups of a finite group ⋮ Finite groups with some weakly pronormal subgroups ⋮ π-Quasinormally embedded subgroups and p-nilpotency of finite groups ⋮ Weakly s-supplementally embedded minimal subgroups of finite groups ⋮ On $\sigma$-permutably embedded subgroups of finite groups ⋮ Finite groups with NE-subgroups ⋮ On weakly \(S\)-embedded subgroups of finite groups. ⋮ The influence of \(s\)-semipermutable subgroups on the structure of finite groups. ⋮ FINITE GROUPS WITH SOME ℨ-PERMUTABLE SUBGROUPS ⋮ Unnamed Item ⋮ On c*-normality and its properties ⋮ A note on \(S\)-quasinormally embedded subgroups. ⋮ On SS-quasinormal and S-quasinormally embedded subgroups of finite groups. ⋮ Finite groups with generalized Ore supplement conditions for primary subgroups. ⋮ Some Conditions Under which a Finite Group Belongs to a Baer-Local Formation

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