On the fixed-point set and commutator subgroup of an automorphism of a group of finite rank.

DOI10.4171/RSMUP/127-13zbMath1254.20028MaRDI QIDQ442640

Bertram Arthur Frederick Wehrfritz

Publication date: 3 August 2012

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://rendiconti.math.unipd.it/volumes/vol127.php?lan=english

zbMATH Keywords

soluble groupspolycyclic groupsfiniteness conditionsalmost fixed-point-free automorphismsFAR-groupsHirsch numbersrank restrictions

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Automorphisms of infinite groups (20E36)

Related Items (2)

On the fixed-point set of an automorphism of a group. ⋮ Nilpotent-by-periodic commutator subgroups of automorphisms.

Cites Work

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• Almost fixed-point-free automorphisms of soluble groups.
• Almost fixed-point-free automorphisms of prime order.
• Almost fixed-point-free automorphisms of order 2.
• On the centralizer and the commutator subgroup of an automorphism.

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