The superstability conjecture for Artin groups

An Artin group is a group defined by an Artin presentation; a group is superstable when its first-order theory has the model-theoretic superstability property.

Superstability conjecture. An Artin group is superstable if and only if it is abelian.

Superstability has strong structural consequences, while non-abelian free groups are not superstable. The source proves non-superstability for non-abelian Artin groups in several classes, including spherical, large, and even FC type, but the assertion for all Artin groups remains open.