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On the Maximally Clustered Elements of Coxeter Groups

✍ Scribed by R. M. Green


Publisher
Springer
Year
2010
Tongue
English
Weight
233 KB
Volume
14
Category
Article
ISSN
0218-0006

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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.

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Assume that the nerve K of a hyperbolic Coxeter group Ξ“ is n-connected and the complement K \ βˆ† to every simplex is n-connected. Then the boundary βˆ‚Ξ“ is n-connected and locally nconnected.