On semi cover-avoiding subgroups of finite groups.

DOI10.1016/J.JPAA.2006.05.027zbMath1117.20013OpenAlexW2039431786MaRDI QIDQ863904

Pengfei Guo, Xiu Yun Guo, Kar Ping Shum

Publication date: 12 February 2007

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.2006.05.027

zbMATH Keywords

finite groupssaturated formationschief series\(p\)-nilpotencysupersolubilitycover-avoidance 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) Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15)

Related Items (17)

Semi cover-avoiding properties of finite groups. ⋮ On second maximal subgroups of Sylow subgroups of finite groups. ⋮ On partial CAP∗-subgroups of finite groups ⋮ The \(IC\)-property of primary subgroups ⋮ A Generalization of Cover-Avoiding Properties in Finite Groups ⋮ On second minimal subgroups of Sylow subgroups of finite groups. ⋮ Finite groups with some CAP-subgroups. ⋮ MAXIMAL SUBGROUPS OF A SYLOW p-SUBGROUP AND p-NILPOTENCY OF FINITE GROUPS ⋮ S-quasinormality of finite groups. ⋮ FINITE GROUPS WITH SOME SEMI-p-COVER-AVOIDING OR S-QUASINORMALLY EMBEDDED SUBGROUPS ⋮ On cover-avoiding subgroups of Sylow subgroups of finite groups. ⋮ Some properties of finite groups with some (semi-\(p\)-)cover-avoiding subgroups. ⋮ On Semi Cover-Avoiding Maximal Subgroups of Sylow Subgroups of Finite Groups ⋮ A note on \(p\)-nilpotence and solvability of finite groups. ⋮ Finite groups with systems of \(\Sigma\)-embedded subgroups. ⋮ Local embeddings of some families of subgroups of finite groups. ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• \({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups
• Pre-Frattini groups.
• Two sufficient conditions for supersolvability of finite groups
• Finite soluble groups
• Cover-avoid subgroups in finite solvable groups
• Verschränkte Homomorphismen endlicher Gruppen
• A contribution to the theory of finite supersoluble groups
• The influence of \(c\)-normality of subgroups on the structure of finite groups
• Cover-avoidance properties and the structure of finite groups
• M-groups and 2-groups
• Finite groups whose minimal subgroups are normal
• Cover-Avoidance Properties in Finite Soluble Groups
• A note on minimal subgroups of finite groups
• Endliche Gruppen I
• Normal \(p\)-complements for finite groups

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