Randomized trial demonstrates an algorithm solving the conjugacy problem in T-RAAGs, indicating foundational implications in group theory.
In this paper, we construct an implementable algorithm that solves the conjugacy problem in twisted right-angled Artin groups (T-RAAGs). In certain cases, the complexity is known to be linear, by reducing the problem to the twisted conjugacy problem in RAAGs. We also show that T-RAAGs are biautomatic, providing an alternative solution to the conjugacy problem.
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Crowe et al. (2026) studied this question.
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