Most finite groups are \(p\)-nilpotent

zbMath0809.20013MaRDI QIDQ1311336

Jacques Thévenaz

Publication date: 3 April 1995

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

finite group\(p\)-nilpotenceSylow \(p\)-subgroupAlperin's fusion theoremfinite \(p\)-groupgroup of outer automorphisms\(p\)-fusioncentral series of subgroupsstrongly characteristic subgroup

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)

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A \(p\)-nilpotency criterion. ⋮ Finite \(p\)-central groups of height \(k\). ⋮ Finite groups with all minimal subgroups solitary

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