Periodic automorphisms of free groups are diagonalisable in free skew-fields

2023/04/16 by Gregor Podlogar, Podlogar, Gregor
Mathematics · #08A35 (Primary) 20E05 #16K40 (Secondary) #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Mathematical Dynamics and Fractals #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2304.07818

openalex publication_date 2023/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study so called weakly-periodic twisted-multiplicative automorphisms of the free skew-field. In particular, we show that any automorphism of a free skew-field that is defined by a periodic automorphism of a free group is equivalent to a diagonal automorphism.

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