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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
MathSciNet review:
1422863
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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
- 2.
- A.N. Dranishnikov, Boundaries and cohomological dimensions of Coxeter groups, Preprint (1994).
- 3.
- A. Dranishnikov, Homological dimension theory, Russian Math. Surveys 43 (1988), 11-63. MR 90e:55003
- 4.
- M. Bestvina, G. Mess, The boundary of negatively curved groups, Jorn. of Amer. Math. Soc. 4 (no. 3) (1991), 469-481. MR 93j:20076
- 5.
- V.I. Kuzminov, Homological dimension theory, Russian Math. Surveys 23 (5) (1968), 1-45. MR 39:2158
- 6.
- M. Davis, Nonpositive curvature and reflection groups, Preprint (1994).
- 7.
- K.S. Brown and P.J. Kahn, Homotopy dimension and simple cohomological dimension of spaces, Comment. Math. Helv. 52 (1977), 11-127. MR 55:11251
- 8.
- K.S. Brown, Buildings, Springer-Verlag, New York, Berlin, 1989. MR 90e:20001
- 9.
- K.S. Brown, Cohomology of groups, Springer-Verlag, New York, Heidelberg, Berlin, 1982. MR 83k:20002
- 10.
- R. Bieri, Homological dimension of discrete groups, Queen Mary College, London, 1976. MR 57:6224
- 11.
- M. Davis, The cohomology of a Coxeter group with group ring coefficients, Preprint (1995).
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20F32, 55M10, 57S30,
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MSC (1991):
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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