3 problems

Let $N_{r,c}$ be a free nilpotent group with rank $r\geq 2$ and nilpotency class $c>2$. The Reidemeister spectrum $\operatorname{Spec}_R(N_{r,c})$ is the set of finite Reidemeister…

Let $m\geq 2$ and $n\in\mathbb{N}$. Consider the polynomial … Writing $R_2$ for the second Reidemeister-number factor associated with this polynomial, the even-degree polynomial co…

Let ${\rm N}_{n,3}$ be the free nilpotent group of rank $n$ and class $3$, and let $\mu_{ij}$ denote the elementary palindromic automorphism that sends $x_i$ to $x_jx_ix_j$ and fix…