On \(p\)-nilpotence and solubility of groups.

DOI10.1007/S00013-010-0215-0zbMath1222.20013OpenAlexW2027694155MaRDI QIDQ623441

Qianlu Li, Xiu Yun Guo

Publication date: 14 February 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-010-0215-0

zbMATH Keywords

finite groupsmaximal subgroupsnormality\(p\)-nilpotencesolubility

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) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

Finite groups in which every maximal subgroup is nilpotent or normal or has p′-order ⋮ New conditions on maximal invariant subgroups that imply solubility ⋮ On a class of generalised Schmidt groups.

Cites Work

• A note on \(p\)-nilpotence and solvability of finite groups.
• \(p\)-nilpotence of finite groups and minimal subgroups.
• Some results on \(p\)-nilpotence and solubility of finite groups
• Endliche Gruppen I
• A note on \(p\)-nilpotence of finite groups

This page was built for publication: On \(p\)-nilpotence and solubility of groups.