The topology at infinity of Coxeter groups and buildings |
| |
| Authors: | M. W. Davis J. Meier |
| |
| Affiliation: | (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 |
| |
| 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 |
| |
| Keywords: | . Coxeter groups buildings topology at infinity duality. |
| 本文献已被 SpringerLink 等数据库收录！ |
|
