Polycyclic group admitting an almost regular automorphism of prime order.

DOI10.1016/j.jalgebra.2010.03.015zbMath1202.20037OpenAlexW2078290176MaRDI QIDQ975115

Gérard Endimioni

Publication date: 8 June 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.03.015

zbMATH Keywords

subgroups of finite indexnilpotent groupspolycyclic groupsfixed-point-free automorphismsalmost regular automorphismsHigman functionKreknin function

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Associated Lie structures for groups (20F40)

Related Items

Regular automorphisms of order \(p^2\) ⋮ Examples of polycyclic groups with regular automorphisms of order 4. ⋮ 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. ⋮ Groups admitting an automorphism of prime order with finite centralizer.

Cites Work

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