On Semi-Cover-Avoiding Maximal Subgroups and Solvability of Finite Groups

DOI10.1080/00927870600778381zbMath1106.20013OpenAlexW2169635345MaRDI QIDQ5491362

Junxin Wang, Xiu Yun Guo, Kar Ping Shum

Publication date: 11 October 2006

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

Full work available at URL: https://doi.org/10.1080/00927870600778381

zbMATH Keywords

finite groupsmaximal subgroupschief seriessolubilitysemi-cover-avoiding propertysemi-cover-avoiding 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) Maximal subgroups (20E28) Series and lattices of subgroups (20D30)

Related Items

On \(m\)-embedded primary subgroups of finite groups ⋮ On some results in the theory of finite partially soluble groups ⋮ On second maximal subgroups of Sylow subgroups of finite groups. ⋮ SCAP-subalgebras of Lie algebras ⋮ On second minimal subgroups of Sylow subgroups of finite groups. ⋮ On finite groups with some semi cover-avoiding subgroups. ⋮ Gradewise properties of subgroups of finite groups. ⋮ On non-Frattini chief factors and solvability of finite groups. ⋮ On Semi Cover-Avoiding Maximal Subgroups of Sylow Subgroups of Finite Groups ⋮ Finite groups with systems of \(\Sigma\)-embedded subgroups. ⋮ Local embeddings of some families of subgroups of finite groups. ⋮ Unnamed Item ⋮ On CAPSp*-subgroups of finite groups ⋮ On boundary factors and traces of subgroups of finite groups.

Cites Work

• On finite insoluble groups with nilpotent maximal subgroups
• The influence of \(c\)-normality of subgroups on the structure of finite groups
• Cover-avoidance properties and the structure of finite groups
• \(C\)-normality of groups and its properties
• A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry
• The classification of (J, σ)-irreducible monoids of typeA₄