Almost fixed-point-free automorphisms of prime order.

DOI10.2478/s11533-011-0017-zzbMath1245.20037OpenAlexW2004251139MaRDI QIDQ657300

Bertram Arthur Frederick Wehrfritz

Publication date: 16 January 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0017-z

zbMATH Keywords

soluble groupsfixed-point-free automorphismsgroups of finite rankautomorphisms of prime ordercharacteristic subgroups of finite indexgroups of finite Hirsch number

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Automorphisms of infinite groups (20E36) Derived series, central series, and generalizations for groups (20F14)

Related Items (8)

On the fixed-point set of an automorphism of a group. ⋮ Periodic subsemigroups of endomorphism monoids. ⋮ Anticentral and antisemicentral elements of infinite soluble groups ⋮ On the fixed-point set and commutator subgroup of an automorphism of a group of finite rank. ⋮ Automorphisms of finite order of nilpotent groups. ⋮ Chains of idempotents in endomorphism monoids. ⋮ Groups admitting an automorphism of prime order with finite centralizer. ⋮ Rank-Engel conditions on linear groups

Cites Work

• Almost fixed-point-free automorphisms of soluble groups.
• Almost fixed-point-free automorphisms of order 2.
• Nilpotent groups and their automorphisms
• Polycyclic group admitting an almost regular automorphism of prime order.
• Group and ring theoretic properties of polycyclic groups.
• On orders of finite groups and centralizers of \(p\)-elements
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