A contribution to the theory of finite supersoluble groups

zbMath0809.20009MaRDI QIDQ1313434

Luis M. Ezquerro

Publication date: 29 March 1995

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1993__89__161_0

zbMATH Keywords

maximal subgroups\(p\)-subgroupsSylow \(p\)-subgroupsCAP-subgroupschief factorcover-avoidance propertySylow tower\(p\)-supersolubility of \(p\)-soluble groupssupersolubility of 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) Series and lattices of subgroups (20D30)

Related Items (33)

On \(c^\sharp\)-normal subgroups in finite groups ⋮ CAP-subgroups in a direct product of finite groups. ⋮ The influence of second maximal subgroups on the generalized p-solvability of finite groups ⋮ On semi cover-avoiding subgroups of finite groups. ⋮ On chief factors of finite groups. ⋮ On second maximal subgroups of Sylow subgroups of finite groups. ⋮ A question on partial CAP-subgroups of finite groups. ⋮ A generalized CAP-subgroup of a finite group. ⋮ On partial CAP∗-subgroups of finite groups ⋮ \(c^\sharp\)-normality of groups and its properties. ⋮ Criteria for the \(p\)-solvability and \(p\)-supersolvability of finite groups. ⋮ On constructing CAP-subgroups in direct products ⋮ Finite groups with some CAP-subgroups. ⋮ Local partial covering subgroups in finite groups ⋮ On second minimal subgroups of Sylow subgroups of finite groups. ⋮ On finite groups with some semi cover-avoiding subgroups. ⋮ Finite groups with some generalized CAP-subgroups ⋮ A note on CAP-subgroups in finite groups ⋮ Finite groups with some CAP-subgroups. ⋮ The semi p -cover-avoidance properties of p -sylowizers in finite groups ⋮ On \(p\)-CAP-subgroups of finite groups ⋮ On cover-avoiding subgroups of Sylow subgroups of finite groups. ⋮ The embedding of CAP-subgroups in finite groups. ⋮ On CAS-subgroups of finite groups. ⋮ Some properties of finite groups with some (semi-\(p\)-)cover-avoiding subgroups. ⋮ Local covering subgroups in finite groups ⋮ Cover-avoidance properties and the structure of finite groups ⋮ On c#-normal subgroups of finite groups ⋮ Local embeddings of some families of subgroups of finite groups. ⋮ Unnamed Item ⋮ On CAPSp*-subgroups of finite groups ⋮ On partial CAP-subgroups of finite groups. ⋮ Finite groups with generalized Ore supplement conditions for primary subgroups.

Cites Work

• Two sufficient conditions for supersolvability of finite groups
• Influence of \(\pi\)-quasinormality on maximal subgroups of Sylow subgroups of Fitting subgroup of a finite group
• Influence of normality on maximal subgroups of Sylow subgroups of a finite group
• Endliche Gruppen I
• On maximal subgroups of finite groups

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