English

Faithful permutation representations of toroidal regular maps

Algebraic Geometry 2019-03-11 v2

Abstract

In this paper we list all possible degrees of a faithful transitive permutation representation of the group of symmetries of a regular map of types {4,4}\{4,4\} and {3,6}\{3,6\} and we give examples of graphs, called CPR-graphs, representing some of these permutation representations.

Keywords

Cite

@article{arxiv.1808.09705,
  title  = {Faithful permutation representations of toroidal regular maps},
  author = {Maria Elisa Fernandes and Claudio Alexandre Piedade},
  journal= {arXiv preprint arXiv:1808.09705},
  year   = {2019}
}
R2 v1 2026-06-23T03:47:38.091Z