A GENERALIZED FIXED-POINT-FREE ACTION

DOI10.1142/S0219498812501721zbMath1267.20037OpenAlexW2096018927MaRDI QIDQ4916162

Gülin Ercan, İsmail Ş. Güloğlu

Publication date: 19 April 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498812501721

zbMATH Keywords

finite groupssolvabilityfixed point free actionssolvable groups of automorphismsnilpotent heights

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)

Cites Work

• Fitting height of groups and of fixed points
• Actions with nilpotent fixed point subgroup
• Finite groups admitting a fixed-point-free automorphism group
• Groups of automorphisms and centralizers