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arXiv · 2008.05996

On the automorphism group of minimal S-adic subshifts of finite alphabet rank

Bastián Espinoza·Alejandro Maass
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Abstract

It has been recently proved that the automorphism group of a minimal subshift with non-superlinear word complexity is virtually $\mathbb{Z}$ [DDPM15, CK15]. In this article we extend this result to a broader class proving that the automorphism group of a minimal S-adic subshift of finite alphabet rank is virtually $\mathbb{Z}$. The proof is based on a fine combinatorial analysis of the asymptotic classes in this type of subshifts, which we prove are a finite number.

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Bastián Espinoza, Alejandro Maass. 2020-08-13. On the automorphism group of minimal S-adic subshifts of finite alphabet rank. https://arxiv.org/abs/2008.05996

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