A note on minimal subgroups of finite groups

DOI10.1080/00927879608542654zbMath0892.20011OpenAlexW1974515183MaRDI QIDQ4369945

Shi-Rong Li, Mohamed Asaad

Publication date: 10 August 1998

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

Full work available at URL: https://doi.org/10.1080/00927879608542654

zbMATH Keywords

finite groupsSylow subgroupssaturated formationschief factorssupersolvable 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 (7)

On \(\mathcal F\)-abnormal maximal subgroups of finite groups. ⋮ On the \(\mathcal F\)-abnormal maximal subgroups of finite groups. ⋮ Finite p–nilpotent groups with some subgroups c–supplemented ⋮ The c-Normal Embedding Property in Finite Groups (I) ⋮ SS-QUASINORMAL SUBGROUPS OF FINITE GROUPS ⋮ Finite groups with some SS-supplemented subgroups ⋮ On minimal subgroups of finite groups (III)

Cites Work

• \({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups
• On the intersection of maximal subgroups of a finite group
• On the normal index of maximal subgroups in finite groups
• Finite solvable groups whose \(\mathfrak F\)-hypercenter contains all minimal subgroups
• Finite solvable groups whose \(\mathfrak F\)-hypercenter contains all minimal subgroups. II
• The influence of \(\pi\)-quasinormality of some subgroups on the structure of a finite group
• Finite groups whose minimal subgroups are normal
• On minimal subgroups of finite groups
• Endliche Gruppen I

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