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arXiv · 2305.05702

Characterising large-type Artin groups

Alexandre Martin·Nicolas Vaskou
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Abstract

We show that the class of large-type Artin groups is invariant under isomorphism, in stark contrast with the corresponding situation for Coxeter groups. We obtain this result by providing a purely algebraic characterisation of large-type Artin groups (i.e. independent of the presentation graph). As a corollary, we completely describe the Artin groups isomorphic to a given large-type Artin group, and characterise those large-type Artin groups that are rigid.

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Alexandre Martin, Nicolas Vaskou. 2023-05-09. Characterising large-type Artin groups. https://arxiv.org/abs/2305.05702

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