On Weakly ℋ-Subgroups of Finite Groups

DOI10.1080/00927872.2011.591218zbMath1278.20014OpenAlexW2052898258MaRDI QIDQ3145450

M. M. al-Mosa al-Shomrani, A. A. Heliel, Mohamed Asaad

Publication date: 20 December 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2011.591218

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupssaturated formations\(p\)-nilpotencysubgroup embedding propertiessupersolubility\(\mathcal H\)-subgroupsc-normal 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) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (14)

A result on s-semipermutable subgroups of finite groups and some applications ⋮ A question on weakly ℋ-subgroups of a finite group ⋮ On weakly ℋC-embedded subgroups and p-nilpotence of finite groups ⋮ On weakly H-subgroups of finite groups II* ⋮ On weakly ℋ-subgroups of finite groups III ⋮ Finite groups with weakly \(\mathcal{H}\mathcal{C}\)-embedded subgroups ⋮ A criterion for p-supersolvability of finite groups ⋮ An evaluation of linear and non-linear models of expressive dynamics in classical piano and symphonic music ⋮ On weakly ℋ-subgroups and p-nilpotency of finite groups ⋮ A result on p-hypercyclically embedded subgroups ⋮ Finite groups with weakly ℋC-embedded subgroups ⋮ On \(\mathcal {SSH}\)-subgroups of finite groups ⋮ On Weakly ℋ-embedded Subgroups of Finite Groups ⋮ On \(\mathcal HC\)-subgroups and its influence on the structure of finite groups.

Cites Work

• Finite groups with certain subgroups of Sylow subgroups complemented.
• Two sufficient conditions for supersolvability of finite groups
• Influence of normality on maximal subgroups of Sylow subgroups of a finite group
• The influence of \(\pi\)-quasinormality of some subgroups of a finite group.
• The influence of \(c\)-normality of subgroups on the structure of finite groups
• \(C\)-normality of groups and its properties
• On \(c\)-normality of certain subgroups of prime power order of finite groups.
• ON c-NORMAL MAXIMAL AND MINIMAL SUBGROUPS OF SYLOW SUBGROUPS OF FINITE GROUPS
• On Supersolvable Groups and the Nilpotator
• The influence of c-normality of subgroups on the structure of finite groups II^*
• Onc-Normal Maximal and Minimal Subgroups of Sylow Subgroups of Finite Groups. II
• On finite solvable groups in which normality is a transitive relation
• Onp-Nilpotence and Supersolvability of Finite Groups
• Endliche Gruppen I
• On c-normality of finite groups

This page was built for publication: On Weakly ℋ-Subgroups of Finite Groups