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arxiv: 1602.08635 · v1 · pith:TJY7LJR4new · submitted 2016-02-27 · 🧮 math.GR

Embedding Right-Angled Artin Groups into Brin-Thompson Groups

classification 🧮 math.GR
keywords groupsartinbrin-thompsonembeddedgroupright-angledsomedecision
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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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