Polycyclic groups with automorphisms of order four

DOI10.1007/s10587-016-0276-8zbMath1389.20050OpenAlexW2460838638MaRDI QIDQ5739713

Tao Xu, Fang Zhou, He Guo Liu

Publication date: 19 July 2016

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/145744

zbMATH Keywords

surjectivitypolycyclic groupregular automorphism

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Automorphisms of infinite groups (20E36)

Cites Work

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• Groups with automorphisms that leave only the neutral element fixed
• Groups with regular automorphisms of order four
• On almost regular automorphisms.
• On the centralizer and the commutator subgroup of an automorphism.
• Groups and Rings Having Automorphisms without Non-Trivial Fixed Elements
• FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDER

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