When is a Coxeter system determined by its Coxeter group?

Journal of the London Mathematical Society

Volumn 61, Issue 2, 2000, Pages 441-461

  Charney, Ruth ^a   Davis, Michael ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000762759     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024610799008583     Document Type: Article

References (15)

1. N. BOURBAKI, Groupes et algebrès de Lie (Massen, Paris, 1981) Chapters IV-VI.
2. K. BROWN, Cohomology of groups (Springer, New York, 1982).
3. R. CHARNEY and M. DAVIS, 'Finite K(ε, 1)s for Artin groups', Prospects in topology, Annals of Mathematics Studies 138 (ed. F. Quinn, Princeton University Press, Princeton, NJ, 1995) 110-124.
4. F. X. CONNOLLY and T. KOŹNIEWSKI, 'Finiteness properties of classifying spaces of proper Γ-actions, J. Pure Appl. Algebra 41 (1986) 17-36.
5. M. DAVIS, 'Groups generated by reflections and aspherical manifolds not covered by Euclidean space', Ann. of Math. (2) 117 (1983) 293-325.
6. M. DAVIS, 'Some aspherical manifolds', Duke Math. J. 55 (1987) 105-139.
7. M. DAVIS, 'Nonpositive curvature and reflection groups', Handbook of geometric topology (Elsevier, to appear).
8. M. DAVIS, 'The cohomology of a Coxeter group with group ring coefficients', Duke Math. J. 91 (1998) 297-314.
9. R. B. HOWLETT, P. J. ROWLEY and D. E. TAYLOR, 'On outer automorphism groups of Coxeter groups', Manuscripta Math. 93 (1997) 499-513.
10. G. MOUSSONG, 'Hyperbolic Coxeter groups', PhD Thesis, Ohio State University, 1988.
11. S. PRASSIDIS and B. SPIELER, 'Rigidity of Coxeter groups', preprint, 1997.
12. E. ROSAS, 'Rigidity theorems for right-angled reflection groups', Trans. Amer. Math. Soc. 308 (1988) 837-848.
13. J. TITS, 'On buildings and their applications', Proceedings of the ICM, Vancouver, 1974, 209-220.
14. J. TITS, 'Sur le groupe des automorphismes de certains group de Coxeter', J. Algebra 113 (1988) 346-357.
15. E. B. VINBERG, 'Discrete linear groups generated by reflections', Math. USSR Izvestija 5 (1971) 1083-1119.