Papers › Implementation: The conjugacy problem in right-angled Artin groups
Implementation: The conjugacy problem in right-angled Artin groups
Gemma Crowe, Michael Jones
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In 2009, Crisp, Godelle and Wiest constructed a linear-time algorithm to solve the conjugacy problem in right-angled Artin groups. This algorithm has now been implemented in Python, and the code is freely available on GitHub. This document provides a summary of how the code works. As well as determining whether two elements w₁, w₂ are conjugate in a RAAG A_Γ, our code also returns a conjugating element x ∈A_Γ such that w₁ = x⁻¹w₂x, if w₁ and w₂ are conjugate.
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