Revista Matemática Iberoamericana
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Published online: 1997-12-31
Some generalized Coxeter groups and their orbifoldsMarcel Hagelberg and Rubén A. Hidalgo (1) Université Paul Sabatier, Toulouse, France
(2) Universidad Técnica Federico Santa María, Valparaíso, Chile
In this note we construct examples of geometric 3-orbifolds with (orbifold) fundamental group isomorphic to a ($\mathbb Z$-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 . We also obtain a similar result for generalized Coxeter groups.
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Hagelberg Marcel, Hidalgo Rubén: Some generalized Coxeter groups and their orbifolds. Rev. Mat. Iberoam. 13 (1997), 543-566. doi: 10.4171/RMI/230