Almost fixed-point-free automorphisms of soluble groups.

DOI10.1016/J.JPAA.2010.07.017zbMath1215.20030OpenAlexW1984864355MaRDI QIDQ626755

Bertram Arthur Frederick Wehrfritz

Publication date: 18 February 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.07.017

zbMATH Keywords

polycyclic-by-finite groupssubgroups of finite indexnilpotent groupspolycyclic groupsfixed-point-free automorphismsalmost regular automorphismsminimax soluble groupsnilpotent-by-finite groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Automorphisms of abstract finite groups (20D45) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28)

Related Items (5)

Examples of polycyclic groups with regular automorphisms of order 4. ⋮ 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. ⋮ Almost fixed-point-free automorphisms of order 2. ⋮ Groups admitting an automorphism of prime order with finite centralizer.

Cites Work

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• Groups with regular automorphisms of order four
• On almost regular automorphisms.
• Polycyclic group admitting an almost regular automorphism of prime order.
• On the holomorphs of soluble groups of finite rank
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements

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