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arXiv · 2103.15539

Thompson's $V$ in MCG of mixing SFT by PW-linear homeos

Ville Salo
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Abstract

In a recent paper, we showed that groups admitting "veelike actions" on a finite language embed in mapping class groups of certain two-sided subshifts. In this note, we illustrate this theorem for the embedding of Thompson's $V$ by exhibiting the piecewise linear local rules for the embedding. These turn out to split the embedding into the mapping class group, showing that $V$ even embeds in the mapping class group by homeomorphisms.

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Ville Salo. 2021-03-29. Thompson's $V$ in MCG of mixing SFT by PW-linear homeos. https://arxiv.org/abs/2103.15539

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