K(π, 1)'s for Artin groups of finite type

Geometriae Dedicata

Volumn 94, Issue 1, 2002, Pages 225-250

  Brady, Thomas ^a   Watt, Colum ^b  

^a DUBLIN CITY UNIVERSITY   (Ireland)

^b TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

Artin group; Coxeter element; Lattice

Indexed keywords

EID: 0036415374     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020902610809     Document Type: Article

References (8)

1. Bessis, D.: The Dual Braid Monoid, Preprint (2001), arXiv:math.GR/0101158.
2. Bourbaki, N.: Groupes et algèbres de Lie, Ch. 4-6, Hermann, Paris 1968; Masson, Paris, 1981.
3. Brady, T.: A partial order on the symmetric group and new K(π, 1)'s for the braid groups, Preprint (2000), to appear in Adv. Math.
4. Brady, T.: Artin groups of finite type with three generators, Michigan Math. J. 47 (2) (2000), 313-324.
5. Brady, T. and Watt, C.: A partial order on the orthogonal group, Preprint (2001).
6. Charney, R. and Davis, M.: Finite K(π, 1)'s for Artin groups, In: F. Quinn (ed.), Prospects in Topology, Ann. of Math. Stud. 138, Princeton Univ. Press, Princeton, NJ, 1995, pp. 110-124.
7. Humphries, J. E.: Reflection Groups and Coxeter Groups, Cambridge Stud. Adv. Math. 29, Cambridge Univ. Press, Cambridge, 1990.
8. Reiner, V.: Non-crossing partitions for classical reflection groups, Discrete Math. 177 (1997), 195-222.