Finite groups with a splitting automorphism of odd order.

DOI10.1007/s00013-016-0874-6zbMath1344.20034OpenAlexW2293676332MaRDI QIDQ284095

Kıvanç Ersoy

Publication date: 17 May 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0874-6

zbMATH Keywords

finite groupssolvabilityfixed point free automorphismsHughes subgroupsplitting automorphisms

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) Automorphisms of infinite groups (20E36)

Related Items (4)

Fitting height of finite groups admitting a fixed-point-free automorphism satisfying an additional polynomial identity ⋮ Anticentral and antisemicentral elements of infinite soluble groups ⋮ Finite groups admitting a coprime automorphism satisfying an additional polynomial identity ⋮ Finite groups with an automorphism that is a complete mapping

Cites Work

• A general Brauer-Fowler theorem and centralizers in locally finite groups
• Die Nilpotenz der \(H_ p\)-Gruppen
• Finite groups admitting a fixed-point-free automorphism group
• Groups admitting a \(4\)-splitting automorphism
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER
• Groups with Anticentral Elements
• Infinite Groups with an Anticentral Element
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