On the fixed-point set of an automorphism of a group.

DOI10.5565/PUBLMAT_57113_06zbMath1291.20029MaRDI QIDQ2636755

Bertram Arthur Frederick Wehrfritz

Publication date: 31 January 2014

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pm/1355854302

zbMATH Keywords

soluble groupsautomorphismsFAR groupsfixed-point sets

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Automorphisms of infinite groups (20E36)

Related Items (2)

Anticentral and antisemicentral elements of infinite soluble groups ⋮ Automorphisms of finite order of nilpotent groups.

Cites Work

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• Nilpotent-by-periodic commutator subgroups of automorphisms.
• 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.
• Group and ring theoretic properties of polycyclic groups.
• On the centralizer and the commutator subgroup of an automorphism.
• On the fixed-point set and commutator subgroup of an automorphism of a soluble group.
• Groups admitting an automorphism of prime order with finite centralizer.

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