Groups PSL(3,p) and nonorientable regular maps

A 2-cell embedding of a graph on a nonorientable closed surface is called regular if its automorphism group acts regularly on its flags. This paper gives a classification of nonorientable regular maps with the automorphism groups PSL(3,p) for a prime p. Equivalently, we determine the representatives of orbits of Aut(PSL(3,p)) acting on the set of involutory generating triples of PSL(3,p) such that .