A Geometric Rational Form for Artin Groups of FC Type

Geometriae Dedicata

Volumn 79, Issue 3, 2000, Pages 277-289

  Altobelli, Joe ^a   Charney, Ruth ^b  

^a KENT STATE UNIVERSITY   (United States)

^b OHIO STATE UNIVERSITY   (United States)

Author keywords

Artin groups; CAT(O) geometry; Regular language

Indexed keywords

EID: 0042829614     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1005216814166     Document Type: Article

References (10)

1. Altobelli, J.: The word problem for Artin groups of FC type, J. Pure Appl. Algebra 129 (1998), 1-22.
2. Brieskorn, E.: Die Fundamentalgruppe des Raumes der regulären Orbits einer endlichen komplexen Spiegelungsgruppe, Invent. Math. 12 (1971), 57-61.
3. Charney, R.: Artin groups of finite type are biautomatic, Math. Ann. 292 (1992), 671-683.
4. Charney, R.: Geodesic automation and growth functions for Artin groups of finite type, Math. Ann. 301 (1995), 307-324.
5. Charney, R. and Davis, M. W.: The K(π, 1)-problem for hyperplane complements associated to infinite reflection groups, J. Amer. Math. Soc. 8(3) (1995), 597-627.
6. Deligne, P.: Les immeubles des groupes de tresses généralisés, Invent. Math. 17 (1972), 273-302.
7. Epstein, D., Cannon, J., Holt, D., Levy, S., Paterson, M. and Thurston, W.: Word Processing in Groups, Jones and Bartlett, Boston, 1992.
8. Niblo, G. and Reeves, L.: The geometry of cube complexes and the complexity of their fundamental groups, Topology 37(3) (1998), 621-633.
9. Peifer, D.: Artin groups of extra-large type are biautomatic, J. Pure Appl. Algebra 110 (1996), 15-56.
10. van der Lek, H.: The homotopy type of complex hyperplane complements, PhD thesis, University of Nijmegen, Nijmegen, 1983.