Mapping degrees between homotopy space forms

Abstract

Let $\mathcal G$ be the family of periodic groups of period either $2$ or $4$, and $\Bar \Sigma^m$ be a homotopy $m$-space form where $\pi_1(\Bar \Sigma^m)\in \mathcal G$.
For $m=3$, we study the set $D(\Bar \Sigma_1^m, \Bar \Sigma_2^m)$ of degrees of the maps from $\Bar \Sigma_1^m$ to $\Bar \Sigma_2^m$.