Groups acting on products of trees, tiling systems and analytic -theory.
Kimberley, Jason S., Robertson, Guyan (2002)
The New York Journal of Mathematics [electronic only]
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Kimberley, Jason S., Robertson, Guyan (2002)
The New York Journal of Mathematics [electronic only]
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Bestvina, Mladen (1999)
Geometry & Topology
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Crisp, John, Wiest, Bert (2004)
Algebraic & Geometric Topology
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Charles Terence Clegg Wall (2003)
Revista Matemática Complutense
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A survey of splitting theorems for abstract groups and their applications. Topics covered include preliminaries, early results, Bass-Serre theory, the structure of G-trees, Serre's applications to SL and length functions. Stallings' theorem, results about accessibility and bounds for splittability. Duality groups and pairs; results of Eckmann and collaborators on PD groups. Relative ends, the JSJ theorems and the splitting results of Kropholler and Roller on PD groups. Notions of quasi-isometry,...
Kapovich, Michael (2005)
Geometry & Topology
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Crisp, John (2002)
Algebraic & Geometric Topology
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Bruno Zimmermann (1998)
Rendiconti del Seminario Matematico della Università di Padova
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Riley, T.R., Thurston, W.P. (2006)
The Electronic Journal of Combinatorics [electronic only]
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Crisp, John (2005)
Geometry & Topology
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Diao, Guo-An, Feighn, Mark (2005)
Geometry & Topology
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Mahmood, R.M.S., Khanfar, M.I. (2000)
International Journal of Mathematics and Mathematical Sciences
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Marcel Hagelberg, Rubén A. Hidalgo (1997)
Revista Matemática Iberoamericana
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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.