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arXiv · 1003.1233

Compressed conjugacy and the word problem for outer automorphism groups of graph groups

Niko Haubold·Markus Lohrey·Christian Mathissen
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Abstract

It is shown that for graph groups (right-angled Artin groups) the conjugacy problem as well as a restricted version of the simultaneous conjugacy problem can be solved in polynomial time even if input words are represented in a compressed form. As a consequence it follows that the word problem for the outer automorphism group of a graph group can be solved in polynomial time.

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Niko Haubold, Markus Lohrey, Christian Mathissen. 2010-03-05. Compressed conjugacy and the word problem for outer automorphism groups of graph groups. https://arxiv.org/abs/1003.1233

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