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

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.

5 pages of text, 10 pages of diagrams, 6 pages of Python; 5 figures (not counting the diagrams)

References in corpus (1)

• Veelike actions and the MCG of a mixing SFT