On second maximal subgroups of Sylow subgroups of finite groups.

DOI10.1016/j.jpaa.2010.06.020zbMath1223.20012OpenAlexW2002928831MaRDI QIDQ616348

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

Publication date: 7 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.06.020

zbMATH Keywords

soluble groupsfinite groupsSylow subgroupschief seriessecond maximal subgroupsCAP subgroupscover and avoidance property

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) Series and lattices of subgroups (20D30)

Related Items (17)

On Φ-Π-property of subgroups of finite groups ⋮ Finite groups with generalized ℙ-subnormal second maximal subgroups ⋮ Finite groups with strongly c-reachable second maximal subgroups ⋮ A question on partial CAP-subgroups of finite groups. ⋮ SCAP-subalgebras of Lie algebras ⋮ On weakly s-semipermutable subgroups of finite groups. ⋮ Complemented subgroups and the structure of finite groups. ⋮ Local partial covering subgroups in finite groups ⋮ On second minimal subgroups of Sylow subgroups of finite groups. ⋮ Finite groups with some generalized CAP-subgroups ⋮ Finite groups with given systems of \(K\)-\(\mathfrak{U}\)-subnormal subgroups ⋮ On partial cap-subgroups of finite groups ⋮ Local covering subgroups in finite groups ⋮ An extension of a result on p-supersolvability of finite groups ⋮ On p-supersolubility and solubility of finite groups ⋮ On partial CAP-subgroups of finite groups. ⋮ On \(p\)-supersolvability of finite groups.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On semi cover-avoiding subgroups of finite groups.
• Local embeddings of some families of subgroups of finite groups.
• Pre-Frattini groups.
• Finite soluble groups
• The Frattini module
• A contribution to the theory of finite supersoluble groups
• Cover-avoidance properties and the structure of finite groups
• \(X\)-semipermutable subgroups of finite groups.
• Normalteiler und maximale Untergruppen endlicher Gruppen
• SUBGROUPS OF FINITE GROUPS WITH A STRONG COVER-AVOIDANCE PROPERTY
• The Influence on a Finite Group of its Permutable Subgroups
• Classes of Finite Groups
• On Semi-Cover-Avoiding Maximal Subgroups and Solvability of Finite Groups
• Endliche Gruppen I

This page was built for publication: On second maximal subgroups of Sylow subgroups of finite groups.