Randomized trial shows solvability of twisted conjugacy problem in large-type Artin groups, indicating broader mathematical implications.
We show that the twisted conjugacy problem is solvable for large-type Artin groups whose outer automorphism group is finite, generated by graph automorphisms and the global inversion. This includes XXXL Artin groups whose defining graph is connected, twistless, and not an even edge, and large-type Artin groups whose defining graph admits a twistless hierarchy terminating in twistless stars.
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Blufstein et al. (2026) studied this question.
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