Solvable groups admitting an automorphism of prime power order whose centralizer is small

DOI10.1016/0021-8693(86)90062-1zbMath0593.20014OpenAlexW2058556837MaRDI QIDQ1076140

Thomas Meixner

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90062-1

zbMATH Keywords

sectionsFitting seriesfinite soluble groupFitting lengthfixed points of automorphismsfixed point free automorphism 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)

Related Items (3)

Groups of automorphisms and centralizers ⋮ Finite soluble groups admitting an automorphism of prime power order with few fixed points ⋮ Almost regular automorphisms

Cites Work

• Unnamed Item
• Periodic groups in which the centralizer of an involution has bounded order
• Finite soluble groups containing an element of prime order whose centralizer is small
• Nilpotent height of finite groups admitting fixed-point-free automorphisms
• On groups admitting fixed point free abelian operator groups
• Groups admitting a fixed-point-free automorphism of order \(2^ n\)
• Nilpotent fixed point free automorphism groups of solvable groups
• Solvable Groups Admitting a Fixed-Point-Free Automorphism of Prime Power Order
• Endliche Gruppen I
• Automorphisms of solvable groups

This page was built for publication: Solvable groups admitting an automorphism of prime power order whose centralizer is small