A conjecture about Artin-Tits groups
نویسنده
چکیده
We conjecture that the word problem of Artin–Tits groups can be solved without introducing trivial factors ss or ss. 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. Artin–Tits groups, also known as Artin groups, are those groups that are defined by relations of the form
منابع مشابه
THE TITS CONJECTURE IS TRUE FOR ARTIN GROUPS OF TYPE Bn
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