We prove that every finitely-generated right-angled Artin group embeds into some Brin-Thompson group nV. It follows that any virtually special group can be embedded into some nV, a class that includes surface groups, all finitely-generated Coxeter groups, and many one-ended hyperbolic groups
Belk, J., Bleak, C., Matucci, F. (2020). Embedding right-angled Artin groups into Brin-Thompson groups. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 169(2), 225-229 [10.1017/S0305004119000112].
Embedding right-angled Artin groups into Brin-Thompson groups
Matucci F.
Co-primo
2020
Abstract
We prove that every finitely-generated right-angled Artin group embeds into some Brin-Thompson group nV. It follows that any virtually special group can be embedded into some nV, a class that includes surface groups, all finitely-generated Coxeter groups, and many one-ended hyperbolic groups
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