Fixed-point free action of an abelian group of odd non-squarefree exponent

DOI10.1017/S0013091509000583zbMath1216.20009OpenAlexW2140040367MaRDI QIDQ3074732

Öznur Mut Sağdiçoğlu, İsmail Ş. Güloğlu, Gülin Ercan

Publication date: 10 February 2011

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091509000583

zbMATH Keywords

Carter subgroupsfinite solvable groupsfixed point free actionsautomorphisms of solvable groupsnon-coprime actions

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) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Automorphisms of abstract finite groups (20D45) Finite nilpotent groups, (p)-groups (20D15)

Related Items (2)

Good action on a finite group ⋮ On a Fitting length conjecture without the coprimeness condition.

Cites Work

• Fitting height of groups and of fixed points
• Fixed point free action on groups of odd order.
• A NOTE ON FIXED-POINT-FREE ACTIONS OF FINITE GROUPS
• Finite groups admitting fixed point free automorphisms of order pq
• Finite groups admitting fixed-point free automorphisms of order pqr
• Fixed Points and Characters in Groups with Non-Coprime Operator Groups
• Unnamed Item

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