SOME SPECIAL KLEINIAN GROUPS AND THEIR ORBIFOLDS

doi:10.4067/S0716-09172002000100003

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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Proyecciones (Antofagasta) vol.21 no.1 Antofagasta May 2002

doi: 10.4067/S0716-09172002000100003

Proyecciones
Vol. 21, N o 1, pp. 21-50, May 2002.
Universidad Católica del Norte
Antofagasta - Chile

SOME SPECIAL KLEINIAN GROUPS
AND THEIR ORBIFOLDS

RUBÉN HIDALGO
Universidad Técnica Federico Santa María - Chile

Abstract

Let us consider an abstract group with the following presentation

. We provide conditions in order to find a faithful, discrete and geometrically finite representation that is, to represent G as a group of isometries of the hyperbolic three space H 3 .

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Received : May 2001.

Rubén Hidalgo
Departamento de Matemática
Universidad Técnica Federico Santa María
Casilla 110-V
Valparaíso
Chile
e-mail : rhidalgo@mat.utfsm.cl

This work was partially supported by projects Fondecyt 1000715, Fondecyt
1010093 and UTFSM 12.01.22.