On subgroups of Brin-Thompson groups $nV$

Abstract

We prove that the Brin-Thompson group $nV$ is torsion locally finite for $ n \geq 1$ which is known only when $n = 1$, and $nV$ contains elements of infinite order admitting roots with arbitrary large order for $n \geq 2$ which is known to not be true for the $n = 1$ case.