The Fitting length of finite soluble groups. II: Fixed-point-free automorphisms

DOI10.1016/j.jalgebra.2017.06.002zbMath1401.20024OpenAlexW2964343822MaRDI QIDQ2012035

Enrico Jabara

Publication date: 27 July 2017

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.06.002

zbMATH Keywords

soluble groupFitting lengthfixed-point-free automorphism

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) Products of subgroups of abstract finite groups (20D40)

Related Items (5)

Fitting height of finite groups admitting a fixed-point-free automorphism satisfying an additional polynomial identity ⋮ Good action on a finite group ⋮ Noncoprime action of a cyclic group ⋮ Finite groups admitting a coprime automorphism satisfying an additional polynomial identity ⋮ A Fitting height lemma and its applications

Cites Work

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• Finite groups admitting fixed-point free automorphisms of order pqr
• Finite p -Groups Acting on p -Soluble Groups
• Solvable Groups Admitting a Fixed-Point-Free Automorphism of Prime Power Order

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