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arXiv · 2304.01077

The $R_\infty$-property for right-angled Artin groups and their nilpotent quotients

Thomas Witdouck
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Abstract

It is proven that every non-abelian right-angled Artin group has the $R_\infty$-property and bounds are given on the $R_\infty$-nilpotency index. In case the graph is transposition-free, which is true for almost all graphs, it is shown that the $R_\infty$-nilpotency index is equal to 2.

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Thomas Witdouck. 2023-04-03. The $R_\infty$-property for right-angled Artin groups and their nilpotent quotients. https://arxiv.org/abs/2304.01077

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