Chiral polytopes of order $2p^m$

Ting-Ting Kong, Yan-Quan Feng, Dong-Dong Hou +2

Let $\mathcal{P}$ be a chiral polytope with type $\{k_1,k_2\}$ and $G=Aut(\mathcal{P})$. Suppose $|G|=2p^m$, where $k_1,k_2\ge 3$ and $p$ is an odd prime. Let $P$ be a Sylow $p$…