Finite groups and arc-transitive maps of square-free Euler characteristic
Authors
P. C. Hua, C. H. Li, J. B. Zhang, H. Zhou
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.