Conjugacy problem in T-RAAGs

Abstract

In this paper, we construct an implementable algorithm which 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 right-angled Artin groups. We also show that T-RAAGs are biautomatic, providing an alternative solution to the conjugacy problem.