Remarks on finite group admitting an automorphism of prime order
DOI10.1007/BF01194162zbMath0870.20020OpenAlexW2091434555MaRDI QIDQ1924572
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
finite groupsFitting subgroupfixed point subgroupsfinite \(\pi\)-nilpotent groupsfixed-point-free automorphisms of prime ordernilpotent \(\pi\)-Hall subgroups
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)
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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