Generic fixed point free action of arbitrary finite groups

DOI10.1007/BF01174184zbMath0574.20013OpenAlexW2037850019MaRDI QIDQ1063687

Alexandre Turull

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173506

zbMATH Keywords

solvable groupactionFitting height

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Automorphisms of abstract finite groups (20D45)

Related Items (8)

Fixed point free action with some regular orbits ⋮ Groups of automorphisms and centralizers ⋮ Covering the set of \(p\)-elements in finite groups by Sylow \(p\)-subgroups ⋮ On characters and fixed points of coprime operator groups ⋮ Cyclic by prime fixed point free action ⋮ On a conjecture of Thompson ⋮ An overview of graphs associated with character degrees and conjugacy class sizes in finite groups. ⋮ Character degree graphs that are complete graphs

Cites Work

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• Fitting height of groups and of fixed points
• Auflösbare Gruppen auf denen nicht auflösbare Gruppen operieren
• Die Gruppe \(A_ 5\) als fixpunktfreie Automorphismengruppe
• Hall-Higman type theorems. V
• Fitting height of solvable groups admitting fixed-point-free automorphism groups
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Minimal einfache gruppen als fixpunztpreie automorphismmgruppen
• Nilpotent groups acting fixed point freely on solvable groups
• A Note on Fixed-Point-Free Solvable Operator Groups
• Endliche Gruppen I
• Automorphisms of solvable groups

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