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The Degrees Of Toroidal Regular Proper Hypermaps

Group Theory 2020-05-19 v1 Algebraic Geometry Combinatorics

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)(3,3,3) that is a subgroup of index 22 of the group of symmetries of a toroidal map of type {6,3}\{6,3\}.

Keywords

Cite

@article{arxiv.2005.08061,
  title  = {The Degrees Of Toroidal Regular Proper Hypermaps},
  author = {Maria Elisa Fernandes and Claudio Alexandre Piedade},
  journal= {arXiv preprint arXiv:2005.08061},
  year   = {2020}
}

Comments

8 pages, 2 figures

R2 v1 2026-06-23T15:35:45.442Z