A4, A5, S4 and S5 of Schottky type.

Hidalgo, Rubén A.. "A4, A5, S4 and S5 of Schottky type.." Revista Matemática Complutense 15.1 (2002): 11-29. <http://eudml.org/doc/44430>.

@article{Hidalgo2002,
abstract = {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, togheter with the previous works in Hidalgo (1994,1999), we exhaust the list of finite groups of Möbius transformations of Schottky type.},
author = {Hidalgo, Rubén A.},
journal = {Revista Matemática Complutense},
keywords = {Superficies Riemann; Grupos de automorfismos; Grupos de Moebius; Grupo alternado AN; Grupo simétrico Sn; conformal automorphism; Schottky groups; period matrices},
language = {eng},
number = {1},
pages = {11-29},
title = {A4, A5, S4 and S5 of Schottky type.},
url = {http://eudml.org/doc/44430},
volume = {15},
year = {2002},
}

TY - JOUR
AU - Hidalgo, Rubén A.
TI - A4, A5, S4 and S5 of Schottky type.
JO - Revista Matemática Complutense
PY - 2002
VL - 15
IS - 1
SP - 11
EP - 29
AB - 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, togheter with the previous works in Hidalgo (1994,1999), we exhaust the list of finite groups of Möbius transformations of Schottky type.
LA - eng
KW - Superficies Riemann; Grupos de automorfismos; Grupos de Moebius; Grupo alternado AN; Grupo simétrico Sn; conformal automorphism; Schottky groups; period matrices
UR - http://eudml.org/doc/44430
ER -