Some generalized Coxeter groups and their orbifolds.

Hagelberg, Marcel, and Hidalgo, Rubén A.. "Some generalized Coxeter groups and their orbifolds.." Revista Matemática Iberoamericana 13.3 (1997): 543-566. <http://eudml.org/doc/39534>.

@article{Hagelberg1997,
abstract = {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.},
author = {Hagelberg, Marcel, Hidalgo, Rubén A.},
journal = {Revista Matemática Iberoamericana},
keywords = {Teoría de grupos; Caleidoscopios; Topología algebraica; Geometría algebraica; Generalización; Isomorfismo; geometric 3-orbifold; Coxeter group},
language = {eng},
number = {3},
pages = {543-566},
title = {Some generalized Coxeter groups and their orbifolds.},
url = {http://eudml.org/doc/39534},
volume = {13},
year = {1997},
}

TY - JOUR
AU - Hagelberg, Marcel
AU - Hidalgo, Rubén A.
TI - Some generalized Coxeter groups and their orbifolds.
JO - Revista Matemática Iberoamericana
PY - 1997
VL - 13
IS - 3
SP - 543
EP - 566
AB - 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.
LA - eng
KW - Teoría de grupos; Caleidoscopios; Topología algebraica; Geometría algebraica; Generalización; Isomorfismo; geometric 3-orbifold; Coxeter group
UR - http://eudml.org/doc/39534
ER -