OnA-Critical nilpotent groups

DOI10.1080/00927879608825568zbMath0854.20030OpenAlexW2086981350MaRDI QIDQ4868181

Yan Ming Wang

Publication date: 20 January 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825568

zbMATH Keywords

finite groupsnilpotent groupsSylow subgroups\(p\)-nilpotent groupsminimal counterexamplesclasses of groupsgroups of operators2-closed groupsinner \(A\)-\(\mathcal F\)-groupsminimal non \(A\)-\(\mathcal F\)-groupsouter \(A\)-\(\mathcal F\)-groups

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) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• Character-theoretic transfer
• Finite groups admitting a fixed-point-free automorphism
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• A Note on Finite Groups Having a Fixed-Point-Free Automorphism