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On the virtual cohomological dimensions of Coxeter groups
Author(s):
A.
N.
Dranishnikov
Journal:
Proc. Amer. Math. Soc.
125
(1997),
1885-1891.
MSC (1991):
Primary 20F32, 55M10, 57S30;
Secondary 16A60, 20J05, 51K10, 54E45
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Abstract:
We apply Bestvina's approach of calculation of the virtual cohomological dimension of Coxeter groups. The explicit formula for  in terms of cohomological properties of the corresponding complex  is given.
References:
- 1.
- M. Bestvina, The virual cohomological dimension of Coxeter groups, Geometric Group Theory Vol 1, LMS Lecture Notes 181, 19-23. MR 94g:20056
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- A. Dranishnikov, Homological dimension theory, Russian Math. Surveys 43 (1988), 11-63. MR 90e:55003
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- M. Bestvina, G. Mess, The boundary of negatively curved groups, Jorn. of Amer. Math. Soc. 4 (no. 3) (1991), 469-481. MR 93j:20076
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20F32, 55M10, 57S30,
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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:
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
Copyright of article:
Copyright
1997,
American Mathematical Society
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