Finite Groups with ℋ-Subgroups

DOI10.1142/S1005386713000394zbMath1278.20018OpenAlexW2065079602MaRDI QIDQ2854029

Ni Du, Zhencai Shen

Publication date: 17 October 2013

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

Full work available at URL: https://doi.org/10.1142/s1005386713000394

zbMATH Keywords

finite groupsmaximal subgroupsnormal subgroupsnilpotent groupsSylow subgroupssaturated formationssupersolvable groups\(\mathcal H\)-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) Maximal subgroups (20E28) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40)

Related Items (1)

On the strongly closed subgroups or \(\mathcal H\)-subgroups of finite groups.

Cites Work

• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• The influence of SS-quasinormality of some subgroups on the structure of finite groups.
• Two sufficient conditions for supersolvability of finite groups
• Subgroups permutable with all Sylow subgroups
• The influence of \(\pi\)-quasinormality of some subgroups on the structure of a finite group
• Nilpotent quotient groups
• On Supersolvable Groups and the Nilpotator
• Some Results onp-Nilpotence and Supersolvability of Finite Groups
• The Influence of Certain Abelian Subgroups on the Structure of Finite Groups
• Finite groups with normally embedded subgroups
• The influence of ℋ-subgroups on the structure of finite groups
• FINITE GROUPS ALL OF WHOSE SECOND MAXIMAL SUBGROUPS ARE PSC-GROUPS
• On finiteJ-groups
• On finite solvable groups in which normality is a transitive relation
• Onp-Nilpotence and Supersolvability of Finite Groups
• OnSS-Quasinormal Subgroups of Finite Groups

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