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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.
Martin et al. (Mon,) studied this question.