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arXiv · 1110.3600

A conjecture about Artin-Tits groups

Patrick Dehornoy·Eddy Godelle
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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.

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Patrick Dehornoy, Eddy Godelle. 2011-10-17. A conjecture about Artin-Tits groups. https://arxiv.org/abs/1110.3600

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