Boundaries of Coxeter groups and simplicial complexes with given links (Q1295722)

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scientific article; zbMATH DE number 1308328
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English
Boundaries of Coxeter groups and simplicial complexes with given links
scientific article; zbMATH DE number 1308328

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    Boundaries of Coxeter groups and simplicial complexes with given links (English)
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    16 August 1999
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    The author constructs hyperbolic Coxeter groups with boundaries homeomorphic to Pontryagin surfaces. For any given finite simplicial complex \(L\) the author constructs a finite simplicial complex \(K\) such that the link of every vertex of \(K\) is homeomorphic to \(L\). He also gives an effective action of the \(p\)-adic integers on boundaries of certain Coxeter groups.
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    boundaries of Coxeter groups
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    simplicial complexes with given links
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    hyperbolic Coxeter groups
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