SUBGROUPS OF FINITE GROUPS WITH A STRONG COVER-AVOIDANCE PROPERTY

DOI10.1017/S0004972709000100zbMath1184.20014MaRDI QIDQ3633338

Alexander N. Skiba, Adolfo Ballester-Bolinches, Luis M. Ezquerro

Publication date: 18 June 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupssaturated formationsCAP-subgroupscover and avoidancestrong cover-avoidance property

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items (13)

The influence of non-c_p-normal subgroups on the structure of non-solvable groups ⋮ On second maximal subgroups of Sylow subgroups of finite groups. ⋮ A generalized CAP-subgroup of a finite group. ⋮ Criteria for the \(p\)-solvability and \(p\)-supersolvability of finite groups. ⋮ On constructing CAP-subgroups in direct products ⋮ A Generalization of Cover-Avoiding Properties in Finite Groups ⋮ On generalizing transitivity, persistence, and sensitivity. ⋮ A note on CAP-subgroups in finite groups ⋮ New Characterizations ofp-Supersolubility of Finite Groups ⋮ On inequalities of subgroups and the structure of finite groups. ⋮ On cover-avoiding subgroups of Sylow subgroups of finite groups. ⋮ On weakly \(S\)-embedded subgroups of finite groups. ⋮ Finite groups with systems of \(\Sigma\)-embedded subgroups.

Cites Work

• Unnamed Item
• Finite soluble groups
• On minimal subgroups of finite groups
• Cover-avoidance properties and the structure of finite groups
• Classes of Finite Groups
• Endliche Gruppen I

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