On \(p\)-nilpotency and minimal subgroups of finite groups.

zbMath1217.20010MaRDI QIDQ551754

Kar Ping Shum, Xiu Yun Guo

Publication date: 21 July 2011

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

formationsminimal subgroups\(p\)-nilpotent groupssupplemented 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) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

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The $p$-nilpotency of finite groups with some weakly pronormal subgroups, Finite groups with some weakly pronormal subgroups