Fixed point free action on groups of odd order.

DOI10.1016/J.JALGEBRA.2008.01.033zbMath1155.20021OpenAlexW2044539321MaRDI QIDQ947533

Gülin Ercan, İsmail Ş. Güloğlu

Publication date: 6 October 2008

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

Full work available at URL: https://hdl.handle.net/11511/28624

zbMATH Keywords

finite solvable groupsFitting heightsrepresentationsfixed point free actions

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) Automorphisms of abstract finite groups (20D45)

Related Items (7)

Unnamed Item ⋮ Good action on a finite group ⋮ Noncoprime action of a cyclic group ⋮ On a Fitting length conjecture without the coprimeness condition. ⋮ The Fitting length of finite soluble groups. II: Fixed-point-free automorphisms ⋮ A Fitting height lemma and its applications ⋮ Fixed-point free action of an abelian group of odd non-squarefree exponent

Cites Work

• Fitting height of groups and of fixed points
• Carter subgroups and Fitting heights of finite solvable groups
• 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
• Unnamed Item

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