Hyperbolic Coxeter groups of large dimension

Commentarii Mathematici Helvetici

Volumn 78, Issue 3, 2003, Pages 555-583

  Januszkiewicz, Tadeusz ^a   Świa̧tkowski, Jacek ^a  

^a UNIVERSITY OF WROC AW   (Poland)

Author keywords

Coxeter group; Dimension; Gromov hyperbolic group; Poincar duality

Indexed keywords

EID: 0041473708     PISSN: 00102571     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00014-003-0763-z     Document Type: Article

References (15)

1. [B1] M. Bestvina, Virtual cohomological dimension of Coxeter groups, in: G. Niblo and M. Roller eds., Geometric Group Theory I, 19-23, LMS Lect. notes 181, Cambridge University Press, 1993.
2. [B2] M. Bestvina, http://www.math.utah.edu/̃bestvina/.
3. [BH] M. Bridson and A. Haefliger, Metric spaces of Nonpositive Curvature, Grundlehren der Math. Wiss. 319, Springer, 1999.
4. [Bu] W. O. Bugaenko, Arithmetic crystallographic groups generated by reflections and reflective hyperbolic lattices, Lie groups, their discrete subgroups, and invariant theory, 33-55, Adv. Sov. Math. 8, AMS, Providence, 1992.
5. [D1] M. W. Davis, The cohomology of a Coxeter group with group ring coefficients, Duke Math. J. 91 (1998) no. 2, 297-314; Duke Math. J. 95 (1998) no. 3, 635.
6. [D1] M. W. Davis, The cohomology of a Coxeter group with group ring coefficients, Duke Math. J. 91 (1998) no. 2, 297-314; Duke Math. J. 95 (1998) no. 3, 635.
7. [D2] M. W. Davis, Nonpositive curvature and reflection groups, in: R. Daverman and R. Shor eds., Handbook of Geometric Topology, Elsevier, 2001.
8. [DJ1] M. W. Davis and T. Januszkiewicz, Hyperbolization of polyhedra, J. Diff. Geom. 34 (1991), 347-388.
9. [Dr] A. N. Dranishnikov, Boundaries of hyperbolic Coxeter groups, Topology and Applications 110 (2001), 29-38.
10. [G] M. L. Gromov, Asymptotic invariants of infinite groups, in: G. Niblo and M. Roller eds., Geometric Group Theory II, LMS Lect. notes 182, CUP, 1993.
11. [GT] M. L. Gromov and W. P. Thurston, Pinching constants for hyperbolic manifolds, Inv. Math. 89 (1987), 1-12.
12. [MS] L. Mosher and M. Sageev, Non manifold hyperbolic groups of high cohomological dimension, http://newark.rutgers.edu/̃mosher
13. [M] G. Moussong, Hyperbolic Coxeter group, Ohio State University PhD thesis, 1987.
14. [S] R. Stanley, Combinatorics and commutative algebra, Birkhäuser, 1983.
15. [V] E. B. Vinberg, Hyperbolic reflection groups, Usp. Mat. Nauk 40 (1) (1985), 29-66.