Some generalized Coxeter groups and their orbifolds | Zendy

Marcel A. Hagelberg | Zendy; Rubén A. Hidalgo | Zendy

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Some generalized Coxeter groups and their orbifolds

Author(s) -

Marcel A. Hagelberg,

Rubén A. Hidalgo

Publication year - 1997

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/230

Subject(s) - coxeter group , coxeter complex , coxeter element , point group , mathematics , longest element of a coxeter group , pure mathematics , artin group , combinatorics

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.

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