Finite groups and arc-transitive maps of square-free Euler characteristic
Group Theory
2025-12-12 v3 Combinatorics
Abstract
A characterization is completed for finite groups acting arc-transitively on maps with square-free Euler characteristic, associated with infinite families of regular maps of square-free Euler characteristic presented. This is based on a classification of finite groups of which each Sylow subgroup has a cyclic or dihedral subgroup of prime index.
Cite
@article{arxiv.2511.14818,
title = {Finite groups and arc-transitive maps of square-free Euler characteristic},
author = {P. C. Hua and C. H. Li and J. B. Zhang and H. Zhou},
journal= {arXiv preprint arXiv:2511.14818},
year = {2025}
}