TY - JOUR AU - Etayo Gordejuela, J. Javier AU - Martínez García, Ernesto PY - 2006 DO - 10.1142/S0218196706002937 SN - 0218-1967 UR - https://hdl.handle.net/20.500.14352/50031 T2 - International Journal of Algebra and Computation AB - 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... M2 - 91 PB - World Scientific KW - Automorphisms KW - Fuchsian groups and their generalizations KW - Compact Riemann surfaces and uniformization KW - Klein surfaces TI - Alternating groups as automorphism groups of Riemann surfaces TY - journal article VL - 16 ER -