Embedding hyperbolic groups into finitely presented infinite simple groups
Group Theory
2023-06-27 v1
Abstract
The Boone--Higman conjecture is that every recursively presented group with solvable word problem embeds in a finitely presented simple group. We discuss a brief history of this conjecture and work towards it. Along the way we describe some classes of finitely presented simple groups, and we briefly outline work of Belk, Bleak, Matucci, and Zaremsky showing that the broad class of hyperbolic groups embeds in a class of finitely presented simple groups.
Cite
@article{arxiv.2306.14863,
title = {Embedding hyperbolic groups into finitely presented infinite simple groups},
author = {James Belk and Collin Bleak},
journal= {arXiv preprint arXiv:2306.14863},
year = {2023}
}