Thompson's $V$ in MCG of mixing SFT by PW-linear homeos
Group Theory
2021-04-07 v2 Dynamical Systems
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 by exhibiting the piecewise linear local rules for the embedding. These turn out to split the embedding into the mapping class group, showing that even embeds in the mapping class group by homeomorphisms.
Keywords
Cite
@article{arxiv.2103.15539,
title = {Thompson's $V$ in MCG of mixing SFT by PW-linear homeos},
author = {Ville Salo},
journal= {arXiv preprint arXiv:2103.15539},
year = {2021}
}
Comments
5 pages of text, 10 pages of diagrams, 6 pages of Python; 5 figures (not counting the diagrams)