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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the virtual cohomological dimensions
of Coxeter groups


Author: A. N. Dranishnikov
Journal: Proc. Amer. Math. Soc. 125 (1997), 1885-1891
MSC (1991): Primary 20F32, 55M10, 57S30; Secondary 16A60, 20J05, 51K10, 54E45
MathSciNet review: 1422863
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Abstract | References | Similar Articles | Additional Information

Abstract: We apply Bestvina's approach of calculation of the virtual cohomological dimension of Coxeter groups. The explicit formula for $vcd_{F}\Gamma $ in terms of cohomological properties of the corresponding complex $K$ is given.


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Additional Information

A. N. Dranishnikov
Affiliation: Department of Mathematics, University of Florida, Gainesville, Florida 32611
Email: dranish@math.ufl.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-04106-3
PII: S 0002-9939(97)04106-3
Received by editor(s): January 28, 1995
Additional Notes: The author was partially supported by NSF grant DMS-9500875
Communicated by: James West
Article copyright: © Copyright 1997 American Mathematical Society