Almost fixed-point-free automorphisms of order 2.

DOI10.1007/s12215-011-0057-zzbMath1253.20025OpenAlexW1993571165MaRDI QIDQ658940

Bertram Arthur Frederick Wehrfritz

Publication date: 9 February 2012

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-011-0057-z

zbMATH Keywords

soluble groupsnilpotent groupsperiodic groupsalmost fixed-point-free automorphismsautomorphisms of order 2

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Automorphisms of infinite groups (20E36)

Related Items (4)

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. ⋮ Almost fixed-point-free automorphisms of prime order. ⋮ Groups admitting an automorphism of prime order with finite centralizer.

Cites Work

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• Almost fixed-point-free automorphisms of soluble groups.
• Polycyclic group admitting an almost regular automorphism of prime order.
• Periodic groups in which the centralizer of an involution has bounded order
• PERIODIC LOCALLY SOLUBLE GROUPS CONTAINING AN ELEMENT OF PRIME ORDER WITH ČERNIKOV CENTRALIZER
• Endliche Gruppen I

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