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

Abstract

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 $m\ge 3$ and $p$ is an odd prime. For $p=3$, our polytopes are the regular toroidal maps $\{3,6\}$.

10pages. arXiv admin note: text overlap with arXiv:2001.02945

References in corpus (2)

• On regular polytopes of order $2^n$
• Regular $3$-polytopes of order $2^{n}p$