TY - JOUR AU - Hidalgo, Rubén A. PY - 2017/04/24 Y2 - 2024/03/28 TI - Bounds for conformal automorphisms of riemann surfaces with condition (A) JF - Proyecciones (Antofagasta, On line) JA - Proyecciones (Antofagasta, On line) VL - 20 IS - 2 SE - DO - 10.4067/S0716-09172001000200002 UR - https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1505 SP - 139-175 AB - In this note we consider a class of groups of conformal automorphisms of closed Riemann surfaces containing those which can be lifted to some Schottky uniformization. These groups are those which satisfy a necessary condition for the Schottky lifting property. We find that all these groups have upper bound 12(g ? 1), where g ? 2 is the genus of the surface. We also describe a sequence of infinite genera g1 < g2 < · · · for which these upper bound is attained. Also lower bounds are found, for instance, (i) 4(g+1) for even genus and 8(g?1) for odd genus. Also, for cyclic groups in such a family sharp upper bounds are given. ER -