The influence of ℋ-subgroups on the structure of finite groups

DOI10.1515/JGT.2009.050zbMath1202.20024OpenAlexW2083053994MaRDI QIDQ3552309

Xianbiao Wei, Xiu Yun Guo

Publication date: 15 April 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2009.050

zbMATH Keywords

\(p\)-subgroupsSylow subgroups\(p\)-nilpotent groupsfinite supersoluble groups

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)

Related Items (22)

Remarks on chains of weakly closed subgroups ⋮ A question on weakly ℋ-subgroups of a finite group ⋮ On weakly ℋC-embedded subgroups and p-nilpotence of finite groups ⋮ On \(\mathscr {H}{C}\)-subgroups of finite groups ⋮ On weakly H-subgroups of finite groups II* ⋮ On the strongly closed subgroups or \(\mathcal H\)-subgroups of finite groups. ⋮ On weakly ℋ-subgroups of finite groups III ⋮ Finite groups with weakly \(\mathcal{H}\mathcal{C}\)-embedded subgroups ⋮ On strongly closed and Hall s-semiembedded subgroups of finite groups ⋮ A criterion for p-supersolvability of finite groups ⋮ On weakly ℋ-subgroups and p-nilpotency of finite groups ⋮ A result on p-hypercyclically embedded subgroups ⋮ Finite groups with some minimal subgroups are ℋC-subgroups ⋮ Finite groups with weakly ℋC-embedded subgroups ⋮ A note on \(\mathcal HC\)-subgroups of finite groups ⋮ Nilpotent fusion systems ⋮ Finite groups with some \(\mathcal H\)-subgroups. ⋮ INFLUENCE OF STRONGLY CLOSED 2-SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS ⋮ On Finite Groups with $\mathscr{H}C$-Subgroups ⋮ Unnamed Item ⋮ Finite Groups with ℋ-Subgroups ⋮ On \(\mathcal HC\)-subgroups and its influence on the structure of finite groups.

Cites Work

• Strongly closed 2-subgroups of finite groups
• 2-fusion in finite groups
• Finite groups whose minimal subgroups are normal
• On Supersolvable Groups and the Nilpotator
• Gruppen, in denen das Normalteilersein transitiv ist.
• On minimal subgroups of finite groups
• On finite solvable groups in which normality is a transitive relation
• Onp-Nilpotence and Supersolvability of Finite Groups
• Normal \(p\)-complements for finite groups

This page was built for publication: The influence of ℋ-subgroups on the structure of finite groups