Generalized Tits conjecture for Artin groups

Abstract: In 2001, Crisp and Paris showed the squares of the standard generators of an Artin group generate an "obvious" right-angled Artin subgroup. This resolved an earlier conjecture of Tits. I will introduce a generalization of this conjecture, where we ask that a larger set of elements generates another "obvious" right-angled Artin subgroup. I will give evidence that this is a good generalization, explain what classes of Artin groups we can prove it for, and give some applications. Joint with Kasia Jankiewicz.

group theorygeometric topologymetric geometry

Audience: researchers in the topic

McGill geometric group theory seminar