Remarks on finite group admitting an automorphism of prime order

DOI10.1007/BF01194162zbMath0870.20020OpenAlexW2091434555MaRDI QIDQ1924572

Yan Ming Wang

Publication date: 2 December 1996

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

Full work available at URL: https://doi.org/10.1007/bf01194162

zbMATH Keywords

finite groupsFitting subgroupfixed point subgroupsfinite \(\pi\)-nilpotent groupsfixed-point-free automorphisms of prime ordernilpotent \(\pi\)-Hall subgroups

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Automorphisms of abstract finite groups (20D45) Products of subgroups of abstract finite groups (20D40)

Related Items (4)

Constructing a Minimal Counterexample in Group Theory ⋮ On finite soluble groups with almost fixed-point-free automorphisms of noncoprime order. ⋮ On orbits of automorphism groups. II. ⋮ Profinite groups with an automorphism whose fixed points are right Engel

Cites Work

• A class of Frattini-like subgroups of a finite group
• Character-theoretic transfer
• On groups admitting fixed point free abelian operator groups
• Nilpotence of the commutator subgroup in groups admitting fixed point free operator groups
• Fixed points in groups with operator groups
• Zum Satz von Sylow
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Endliche Gruppen I

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