Burnside conjecture for homeomorphism groups of closed manifolds

Let $M$ be a finite-dimensional closed connected manifold, meaning a compact connected manifold without boundary. A subgroup is periodic if every one of its elements has finite order. Burnside conjecture for closed manifolds. The homeomorphism group $\operatorname{Homeo}(M)$ satisfies the Burnside property, i.e., every finitely generated periodic subgroup is finite. This is presented as the most general conjecture arising in the paper. The preceding proposition establishes torsion-freeness for pointwise boundary-fixing homeomorphism groups of compact connected manifolds with boundary, but the closed-manifold case remains open.