Some generalized Coxeter groups and their orbifolds

Autores: Rubén Antonio Hidalgo , Marcel Hagelberg
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 13, Nº 3, 1997, págs. 543-566
Idioma: inglés
DOI: 10.4171/rmi/230
Títulos paralelos:
- Algunos grupos de Coxeter generalizados y sus orbifolds
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Resumen
- In this note we construct examples of geometric 3-orbifolds with (orbifold) fundamental group isomorphic to a (Z-extension of a) generalized Coxeter group. Some of these orbifolds have either euclidean, spherical or hyperbolic structure. As an application, we obtain an alternative proof of theorem 1 of Hagelberg, Maclaughlan and Rosenberg in [5]. We also obtain a similar result for generalized Coxeter groups.