Full paper in PDF:
$%R. A. Hidalgo, A4, A5, S4, and S5 of Schottky type, Rev. Mat. Complut. 15 (2002), no. 1, 1129.%$

A4, A5, S4, and S5 of Schottky Type
Departamento de Matemáticas
Valparaiso — Chile

Received: June 14, 2000
Revised: September 21, 2000


Let H  be a group of conformal automorphisms of a closed Riemann surface S  , isomorphic to either of the alternating groups A4  or A5  or the symmetric groups S4  or S5  . We provide necessary and sufficient conditions for the existence of a Schottky uniformization of S  for which H  lifts. In particular, together with the previous works in R. A. Hidalgo (1994, 1999), we exhaust the list of finite groups of Möbius transformations of Schottky type.

2000 Mathematics Subject Classification: 30F10.