The topology at infinity of Coxeter groups and buildings |
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| Authors: | M W Davis J Meier |
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| Institution: | (1) The Ohio State University, Department of Mathematics, 231 W. 18th Ave, Columbus, OH 43210, USA mdavis@math.ohio-state.edu , US;(2) Lafayette College, Department of Mathematics, Easton, PA 18042, USA meierj@lafayette.edu , US |
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| Abstract: | The connectivity at infinity of a finitely generated Coxeter group W is completely determined by topological properties of its nerve L (a finite simplicial complex). For example, W is simply connected at infinity if and only if L and the subcomplexes (where ranges over all simplices in L) are simply connected. This characterization extends to locally finite buildings.
Received: May 3, 2001 |
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| Keywords: | , Coxeter groups, buildings, topology at infinity, duality, |
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