English

Arc-transitive maps with coprime Euler characteristic and edge number -- II

Combinatorics 2025-02-25 v2 Group Theory

Abstract

This is the second of a series of papers which aim towards a classification of edge-transitive maps of which the Euler characteristic and the edge number are coprime. This one carries out the classification work for arc-transitive maps with non-solvable automorphism groups, which together with the first one completes a description of arc-transitive maps with the Euler characteristic and the edge number coprime. The classification is involved with a construction of some new and interesting reversing maps.

Keywords

Cite

@article{arxiv.2403.18335,
  title  = {Arc-transitive maps with coprime Euler characteristic and edge number -- II},
  author = {Cai Heng Li and Luyi Liu},
  journal= {arXiv preprint arXiv:2403.18335},
  year   = {2025}
}
R2 v1 2026-06-28T15:35:10.723Z