Embedding Right-Angled Artin Groups into Brin-Thompson Groups

preprint2016arXivOpen access

Abstract

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

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