The degrees of toroidal regular proper hypermaps

Keywords: Regular polytopes, regular toroidal maps, regular toroidal hypermaps, permutation groups

Abstract

Recently the classification of all possible faithful transitive permutation representations of the group of symmetries of a regular toroidal map was accomplished. In this paper we complete this investigation on a surface of genus 1 considering the group of a regular toroidal hypermap of type (3, 3, 3).

Published
2021-09-02
Section
Bled 2019 – Polytopes, Configurations, and Symmetries (Grünbaum Issue)