Geodesic
Flag-no-square triangulations and Gromov boundaries in dimension 3
Piotr Przytycki1 ; Jacek Świątkowski2
1McGill University, Montreal, Canada
2Uniwersytet Wrocławski, Wroclaw, Poland
Groups, geometry, and dynamics, Tome 3 (2009) no. 3, pp. 453-468

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DOI

We describe an infinite family of 3-dimensional topological spaces, which are homeomorphic to boundaries of certain word-hyperbolic groups. The groups are right-angled hyperbolic Coxeter groups, whose nerves are flag-no-square triangulations of 3-dimensional manifolds. We prove that any 3-dimensional polyhedral complex (in particular, any 3-manifold) can be triangulated in a flag-no-square way.
DOI : 10.4171/ggd/66
Classification : 20-XX, 57-XX, 00-XX
Mots-clés : Word-hyperbolic group, Gromov boundary, flag-no-square triangulation

Piotr Przytycki  1   ; Jacek Świątkowski  2

1 McGill University, Montreal, Canada
2 Uniwersytet Wrocławski, Wroclaw, Poland 
Piotr Przytycki; Jacek Świątkowski. Flag-no-square triangulations and Gromov boundaries  in dimension 3. Groups, geometry, and dynamics, Tome 3 (2009) no. 3, pp. 453-468. doi: 10.4171/ggd/66
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     title = {Flag-no-square triangulations and {Gromov} boundaries  in dimension 3},
     journal = {Groups, geometry, and dynamics},
     pages = {453--468},
     year = {2009},
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     number = {3},
     doi = {10.4171/ggd/66},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/66/}
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