The influence of minimal subgroups of focal subgroups on the structure of finite groups

DOI10.1016/S0022-4049(01)00062-7zbMath0997.20023MaRDI QIDQ1602682

Kar Ping Shum, Xiu Yun Guo

Publication date: 24 June 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

soluble groupsfinite groupsmaximal subgroupsSylow subgroupssaturated formationscomplemented subgroupsFitting subgroupsminimal subgroupsSylow towerssupersoluble groupsfocal 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) Products of subgroups of abstract finite groups (20D40)

Related Items (8)

The $p$-nilpotency of finite groups with some weakly pronormal subgroups ⋮ \(p\)-nilpotence of finite groups and minimal subgroups. ⋮ Permutability of minimal subgroups and \(p\)-nilpotency of finite groups. ⋮ Unnamed Item ⋮ Minimal subgroups and the structure of finite groups. ⋮ Complementarity of Subgroups and the Structure of Finite Groups ⋮ Finite groups with some weakly pronormal subgroups ⋮ Some necessary and sufficient conditions for p-nilpotence of finite groups

Cites Work

• Unnamed Item
• Unnamed Item
• The influence of minimal p-subgroups on the structure of finite groups
• New criteria for the solvability of finite groups
• Influence of \(\pi\)-quasinormality on maximal subgroups of Sylow subgroups of Fitting subgroup of a finite group
• Finite soluble groups
• On minimal subgroups of finite groups
• The influence of c-normality of subgroups on the structure of finite groups II^*
• A note on minimal subgroups of finite groups
• Endliche Gruppen I
• Complemented Groups
• On complemented subgroups of finite groups

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