REGULAR HYPERMAPS OVER PROJECTIVE LINEAR GROUPS

Abstract

Abstract An enumeration result for orientably regular hypermaps of a given type with automorphism groups isomorphic to PSL(2, q ) or PGL(2, q ) can be extracted from a 1969 paper by Sah. We extend the investigation to orientable reflexible hypermaps and to nonorientable regular hypermaps, providing many more details about the associated computations and explicit generating sets for the associated groups.