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arXiv · 2304.07818

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

Gregor Podlogar
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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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Gregor Podlogar. 2023-04-16. Periodic automorphisms of free groups are diagonalisable in free skew-fields. https://arxiv.org/abs/2304.07818

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