A conjecture about Artin-Tits groups

Details A conjecture about Artin-Tits groups A conjecture about Artin-Tits groups

2011-10-17

arxiv.org/abs/1110.3600v1

Mathematics

Group Theory

Scientific paper

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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