The purpose of this paper is to introduce, for a finite Coxeter group W, the mod 2 boundary operator on the space of all Coxeter matroids (also known as WPmatroids) for W and P, where P varies through all the proper standard parabolic subgroups of W (Theorem 3 of the paper). A remarkably simple inte
On boundaries of hyperbolic Coxeter groups
β Scribed by A.N. Dranishnikov
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 106 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
β¦ Synopsis
Assume that the nerve K of a hyperbolic Coxeter group Ξ is n-connected and the complement K \ β to every simplex is n-connected. Then the boundary βΞ is n-connected and locally nconnected.
π SIMILAR VOLUMES
Let P be a polygon on hyperbolic plane H 2 . A Coxeter decomposition of a polygon P is a nontrivial decomposition of P into finitely many Coxeter polygons F i , such that any two polygons F 1 and F 2 having a common side are symmetric with respect to this common side. In this paper we classify the C
In this paper, using a result of F.T. Farrell, we reformulate the Davis formula for the cohomology of a Coxeter group, and we study the problem as to when the ith cohomology of a Coxeter group is ΓΏnitely generated.