# Some generalized Coxeter groups and their orbifolds.

Marcel Hagelberg; Rubén A. Hidalgo

Revista Matemática Iberoamericana (1997)

- Volume: 13, Issue: 3, page 543-566
- ISSN: 0213-2230

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topHagelberg, 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 -

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