Fenn–Rourke–Sanderson torsion conjecture for dihedral quandle homology

Let $p$ be an odd prime, and let $\operatorname{R}_p$ be the dihedral quandle of order $p$. Write $\operatorname{H}^{\rm R}_n(\operatorname{R}_p)$ for its rack homology. Fenn–Rourke–Sanderson torsion conjecture. For every $n>1$, the torsion subgroup of $\operatorname{H}^{\rm R}_n(\operatorname{R}_p)$ is annihilated by $p$. The case corresponding to third rack homology is described as equivalent to a result proved by Mochizuki; the general assertion remains open in the supplied text.