Full paper in PDF:
$%R. A. Hidalgo,
A4, A5, S4,
and S5 of Schottky type, Rev. Mat. Complut. 15 (2002),
no. 1, 11–29.%$
A4, A5, S4,
and S5 of Schottky Type
Rubén A. HIDALGO
Departamento de Matemáticas
UTFSM
Valparaiso — Chile
Received: June 14, 2000
Revised: September 21, 2000
Let
be a group of conformal automorphisms of a closed Riemann surface
, isomorphic to either of the alternating groups
or
or the
symmetric groups
or
. We provide necessary and sufficient conditions
for the existence of a Schottky uniformization of
for which
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.