Symmetrical subgroups of Artin groups

Advances in Mathematics

Volumn 152, Issue 1, 2000, Pages 159-177

  Crisp, John ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034196389     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1999.1895     Document Type: Article

References (22)

1. Altobelli J. The word problem for Artin groups of FC type. J. Pure Appl. Algebra. 129:1998;1-22.
2. Ballman W. Lectures on Spaces of Nonpositive Curvature. 1995;Birkhäuser, Basel.
3. D. Bessis, Groupes des tresses et éléments réguliers, J. Reine Angew. Math, in press.
4. Bourbaki N. Groupes et algèbres de Lie. 1968;Hermann, Paris.
5. Bridson M. R. Geodesics and curvature in metric simplicial complexes. Ghys E., Haefliger A., Verjovsky A., Group Theory from a Geometrical Viewpoint. 1991;373-463 World Scientific, Singapore.
6. Brieskorn E., Saito K. Artin-Gruppen und Coxeter-Gruppen. Invent. Math. 17:1972;245-271.
7. Charney R. Artin groups of finite type are biautomatic. Math. Ann. 292:1992;671-683.
8. Charney R. Geodesic automation and growth functions for Artin groups of finite type. Math. Ann. 301:1995;307-324.
9. Charney R. Injectivity of the positive monoid for some infinite type Artin groups. Cossey J., Miller C. F. III, Neumann W. D., Shapiro M., Geometric Group Theory Down Under, Proceedings of a Special Year in Geometric Group Theory, Canberra, Australia, 1996. 1999;103-118 de Gruyter, Berlin.
10. Charney R., Davis M. W. The K(π, 1)-problem for hyperplane complements associated to infinite reflection groups. J. Amer. Math. Soc. 8:1995;597-627.
11. Charney R., Davis M. W. Finite K(π, 1)'s for Artin groups. Quinn F., Prospects in Topology. Annals of Math. Studies. 138:1995;110-124 Princeton Univ. Press, Princeton.
12. Dehornoy P., Paris L. Gaussian groups and Garside groups: Two generalisations of Artin groups. Proc. London Math. Soc. (2). 79:1999;569-604.
13. Hée J.-Y. Systèmes de racines sur un anneau commutatif totalement ordonné Geom. Dedicata. 37:1991;65-102.
14. Crisp J. Injective maps between Artin groups. Cossey J., Miller C. F. III, Neumann W. D., Shapiro M., Geometric Group Theory Down Under, Proceedings of a Special Year in Geometric Group Theory, Canberra, Australia, 1996. 1999;119-138 de Gruyter, Berlin.
15. Deligne P. Les immeubles des groupes de tresses généralisés. Invent. Math. 17:1972;273-302.
16. van der Lek H. The Homotopy Type of Complex Hyperplane Complements. 1983;University of Nijmegen, Nijmegen.
17. Michel J. A note on words in braid monoids. J. Algebra. 215:1999;366-377.
18. Moussong G. Hyperbolic Coxeter groups. 1988;The Ohio State University.
19. Mühlherr B. Coxeter groups in Coxeter groups. De Clerck F., Finite Geometry and Combinatorics. London Mathematical Society Lecture Notes Series. 191:1993;277-287 Cambridge Univ. Press, Cambridge.
20. n. Invent. Math. 88:1987;603-618.
21. Steinberg R. Endomorphisms of linear algebraic groups. Mem. Amer. Math. Soc. 80:1968.
22. Tits J. Le problème des mots dans les groupes de Coxeter. Symposia Math. (INDAM). 1969;Academic Press, London. p. 175-185.