3 problems

Let $G$ be the diagonalizable group considered in Theorem, let $\mathcal{B}$ be the associated object, let $\tau(\mathcal{B})$ denote its separating degree, let $\dim(G)$ be the di…

Conjecture. There exists a polynomial separating algebra if and only if $G$ is a rigid reflection group.

Let $D_{2p}$ be the dihedral group of order $2p$, where $p$ is an odd prime, and let $\beta_{\operatorname{sep}}(D_{2p})$ denote the separating degree bound for this group over a f…