A GENERALIZED FIXED POINT FREE AUTOMORPHISM OF PRIME POWER ORDER

DOI10.1142/S0218196712500294zbMath1270.20022OpenAlexW1988699211MaRDI QIDQ3166260

İsmail Ş. Güloğlu, Ercan Gülin

Publication date: 10 October 2012

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196712500294

zbMATH Keywords

Fitting heightssoluble groupsfinite groups\(p\)-nilpotent groupsfixed-point-free actionsautomorphisms of prime power order

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)

Cites Work

• The Fitting length of solvable \(H_{p^ n}\)-groups
• A noncoprime Shult type theorem
• Finite groups admitting a fixed-point-free automorphism group

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