The faithfulness question for the Burau representation
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- by John Moody PDF
- Proc. Amer. Math. Soc. 119 (1993), 671-679 Request permission
Abstract:
We consider the Burau and Gassner representations of the braid groups ${B_n}$. A sufficient condition for faithfulness, involving just a pair of arcs, is shown to be necessary as well for all but at most two values of $n$. In the Burau case, this implies nonfaithfulness for $n \geqslant 10$.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 671-679
- MSC: Primary 57M25; Secondary 20F36, 57M07
- DOI: https://doi.org/10.1090/S0002-9939-1993-1158006-X
- MathSciNet review: 1158006