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Automorphisms of Finite Order of Soluble Groups of Finite Rank

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We study the effect on sections of a soluble-by-finite group G of finite rank of an almost fixed-point-free automorphism φ of G of finite order. We also elucidate the structure… Click to show full abstract

We study the effect on sections of a soluble-by-finite group G of finite rank of an almost fixed-point-free automorphism φ of G of finite order. We also elucidate the structure of G if φ has order 4 and if G is also (torsion-free)-by-finite. The latter extends recent work of Xu, Zhou and Liu.

Keywords: order; soluble groups; automorphisms finite; finite order; order soluble; finite rank

Journal Title: Studia Scientiarum Mathematicarum Hungarica
Year Published: 2021

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