麻豆AV

Title: 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.

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