%0 Journal Article
%A Etayo Gordejuela, J. Javier
%A Pérez-Chirinos, C.
%T Bordered and unbordered Klein surfaces with maximal symmetry
%D 1986
%@ 0022-4049
%U https://hdl.handle.net/20.500.14352/64649
%X A compact Klein surface with boundary of algebraic genus g≥2 has at most 12(g−1) automorphisms. When a surface attains this bound we say that it has maximal symmetry, and the group of automorphisms is then an M group. In this paper we exhibit four new infinite families of M simple groups, and determine with the aid of a computer the groups PSL(n, q) of order less than 50,000 that are M groups. Using these results, we prove the existence of seven topologically different surfaces of algebraic genus 1013, all of them having maximal symmetry.
%~