A conjecture about Artin-Tits groups
Group Theory
2011-10-18 v1
Abstract
We conjecture that the word problem of Artin-Tits groups can be solved without introducing trivial factors ss^{-1} or s^{-1}s. Here we make this statement precise and explain how it can be seen as a weak form of hyperbolicity. We prove the conjecture in the case of Artin-Tits groups of type FC, and we discuss various possible approaches for further extensions, in particular a syntactic argument that works at least in the right-angled case.
Cite
@article{arxiv.1110.3600,
title = {A conjecture about Artin-Tits groups},
author = {Patrick Dehornoy and Eddy Godelle},
journal= {arXiv preprint arXiv:1110.3600},
year = {2011}
}