A family of regular polytopes of order $4p^m$ with type $\{p,2p\}$

Dong-Dong Hou, Ting-Ting Kong, Hai-Peng Qu

In this paper, we construct an infinite families of group $G$ of order $4p^m$ which can be an automorphism group of some regular polytope with type $\{p,2p\}$, where $m\ge 3$ an…