Conjugate subgroups and overgroups of $V_n$
Group Theory
2018-02-22 v2
Abstract
We describe subgroups and overgroups of the generalised Thompson groups which arise via conjugation by rational homeomorphisms of Cantor space. We specifically consider conjugating by homeomorphisms induced by synchronizing transducers and their inverses. Our descriptions of the subgroups and overgroups use properties of the conjugating transducer to either restrict or augment the action of on Cantor space.
Keywords
Cite
@article{arxiv.1710.00913,
title = {Conjugate subgroups and overgroups of $V_n$},
author = {Casey Donoven and Feyishayo Olukoya},
journal= {arXiv preprint arXiv:1710.00913},
year = {2018}
}
Comments
26 pages; corrected some typos; new section added exploring simplicity of overgroups in general