Ons-Semipermutable Maximal and Minimal Subgroups of Sylowp-Subgroups of Finite Groups

DOI10.1080/00927870500346081zbMath1087.20015OpenAlexW1986212537MaRDI QIDQ5201394

Li Fang Wang, Yan Ming Wang

Publication date: 19 April 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500346081

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupssaturated formations\(p\)-nilpotent groupssemipermutable 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) Products of subgroups of abstract finite groups (20D40)

Related Items (26)

A note on a result of Guo and Isaacs about \(p\)-supersolubility of finite groups. ⋮ On S_*-embedded subgroups of finite groups ⋮ On \(s\)-semipermutable subgroups of finite groups and \(p\)-nilpotency. ⋮ On the supersoluble hypercentre of a finite group ⋮ On weakly \(S\)-embedded and weakly \(\tau\)-embedded subgroups. ⋮ Conditions on p-subgroups implying p-supersolvability ⋮ \(S\)-semiembedded subgroups of finite groups. ⋮ Criteria for p-supersolvability of a finite group ⋮ Characterizations of finite groups with σ-semiembedded subgroups ⋮ Finite groups in which \(\tau\)-quasinormality is a transitive relation. ⋮ On \(\Pi\)-property and \(\Pi\)-normality of subgroups of finite groups. II. ⋮ The indices of the \(p\)-Sylowizers and the \(p\)-supersolvability of finite groups ⋮ Nearly s-embedded subgroups and the p-nilpotency of finite groups ⋮ On \(\Pi\)-property and \(\Pi\)-normality of subgroups of finite groups. ⋮ Finite groups with given nearly \(s\)-embedded subgroups. ⋮ On generalized \(\mathfrak U\)-hypercentral subgroups of a finite group. ⋮ On weakly \(s\)-normal subgroups of finite groups. ⋮ On $$s$$ s -semipermutable or ss-quasinormal subgroups of finite groups ⋮ Second maximal subgroups of a Sylow \(p\)-subgroup and the \(p\)-nilpotency of finite groups. ⋮ Nearly s-semipermutable subgroups and p-nilpotency ⋮ An extension of a result on p-supersolvability of finite groups ⋮ Finite Groups with Π-Supplemented Minimal Subgroups ⋮ Semipermutable subgroups and \(s\)-semipermutable subgroups in finite groups ⋮ Unnamed Item ⋮ On s-Semiembedded Subgroups of Finite Groups ⋮ On weakly σ-semipermutable subgroups of finite groups

Cites Work

• Unnamed Item
• Two sufficient conditions for supersolvability of finite groups
• Influence of normality on maximal subgroups of Sylow subgroups of a finite group
• On \(c\)-normal maximal and minimal subgroups of Sylow \(p\)-subgroups of finite groups.
• The influence of \(c\)-normality of subgroups on the structure of finite groups
• \(C\)-normality of groups and its properties
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• Normal \(p\)-complements for finite groups

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