On the varieties of representations and characters of a family of one-relator subgroups. Their irreducible components

Jorge Martin-Morales, Antonio M. Oller-Marcen

Let us consider the group $G=<x,y\mid x^m=y^n>$ with $m$ and $n$ nonzero integers. In this paper, we study the variety of epresentations $R(G)$ and the character variety $X(G…