%0 Journal Article
%A Etayo Gordejuela, J. Javier
%A Martínez García, Ernesto
%T Alternating groups as automorphism groups of Riemann surfaces
%D 2006
%@ 0218-1967
%U https://hdl.handle.net/20.500.14352/50031
%X In this work we give pairs of generators (x, y) for the alternating groups An, 5 ≤ n ≤ 19, such that they determine the minimal genus of a Riemann surface on which An acts as the automorphism group. Using these results we prove that A15 is the unique of these groups that is an H*-group, i.e., the groups achieving the upper bound of the order of an automorphism group acting on non-orientable unbordered surfaces.
%~