The braid group B4 is linear

Inventiones Mathematicae

Volumn 142, Issue 3, 2000, Pages 451-486

  Krammer, Daan ^a  

^a UNIVERSITY OF BASEL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034349519     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220000088     Document Type: Article

References (20)

1. 1. Artin, E., Theorie der Zöpfe, Hamburg Abh. 4 (1925), 47-72
2. 2. Bigelow, S., The Burau representation is not faithful for n ≥ 5, Geom. Topology 3 (1999), 397-404
3. 3. Birman, J., Ki Hyoung Ko, Sang Jin Lee, A new approach to the word and conjugacy problems in the braid groups, Adv. Math. 139 (1998), 322-353
4. 4. Birman, J., Review of "Braid groups are linear groups" by S. Bachmuth, MR 98h:20061 (1998)
5. 2), Arch. Math. 63 (1994), 97-102
6. 6. Brady, T, Rank 3 finite type Artin groups, preprint (1996)
7. 7. Burau, W., Über Zopfgruppen und gleichsinnig verdrillte Verkettungen, Abh. Math. Sem. Hanischen Univ. 11 (1936), 171-178
8. 8. Cannon, J.W., D.B.A. Epstein, D.F. Holt, S.V.F. Levy, M.S. Paterson, W.P. Thurston, Word processing in group theory, Jones and Bartlet, 1992
9. 9. Charney, R., Geodesic automation and growth functions for Artin groups of finite type. Math. Ann. 301 (1995), 307-324
10. 2, Invent. math. 127 (1997), 535-570
11. 11. Deligne, P., Les immeubles des groupes de tresses généralisés, Invent, math. 17 (1972), 273-302
12. 12. Dyer, J.L., E. Formanek, E.K. Grossman, On the linearity of automorphism groups of free groups, Arch. Math. 38 (1982), 404-409
13. 13. Formanek, E., C. Procesi, The automorphism group of a free group is not linear, J. Algebra 149, no. 2 (1992), 494-499
14. 14. Garside, F.A., The braid group and other groups, Quart. J. Math. Oxford (2), 20 (1969), 235-254
15. 15. Kang Eun Sook, Ki Hyoung Ko, Sang Jin Lee, Band-generator presentation for the 4-braid group. Special issue on braid groups and related topics, Jerusalem, 1995, Topology Appl. 78 (1997), no. 1-2, 39-60
16. 16. Lawrence, R.J., Homological representations of the Hecke algebra, Commun. Math. Phys. 135 (1990), 141-191
17. 17. Long, D.D., M. Paton, The Burau representation is not faithful for n ≥ 6, Topology 32 (1993), no. 2, 439-447
18. 18. Michel, J., A note on words in braid monoids, J. Algebra 215 (1999), no. 1, 366-377
19. n is unfaithful for large n, Bull. Amer. Math. Soc. (N.S.) 25 (1991), no. 2, 379-384
20. 20. Paterson, M.S., A.A. Razborov, The set of minimal braids is co-NP-complete, J. Algorithms 12 (1991), 393-408