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arXiv · 1602.08635

Embedding Right-Angled Artin Groups into Brin-Thompson Groups

James Belk·Collin Bleak·Francesco Matucci
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Abstract

We prove that every finitely-generated right-angled Artin group can be embedded into some Brin-Thompson group $nV$. It follows that many other groups can be embedded into some $nV$ (e.g., any finite extension of any of Haglund and Wise's special groups), and that various decision problems involving subgroups of $nV$ are unsolvable.

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James Belk, Collin Bleak, Francesco Matucci. 2016-02-27. Embedding Right-Angled Artin Groups into Brin-Thompson Groups. https://arxiv.org/abs/1602.08635

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