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

Thomas Witdouck

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

Group Theory 2024-06-04 v3

Authors: Thomas Witdouck

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.

Keywords

right-angled Artin groups R-infinity property nilpotent quotients nilpotency index transposition-free graphs

Cite

@article{arxiv.2304.01077,
  title  = {The $R_\infty$-property for right-angled Artin groups and their nilpotent quotients},
  author = {Thomas Witdouck},
  journal= {arXiv preprint arXiv:2304.01077},
  year   = {2024}
}

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21 pages

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