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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The faithfulness question for the Burau representation


Author: John Moody
Journal: Proc. Amer. Math. Soc. 119 (1993), 671-679
MSC: Primary 57M25; Secondary 20F36, 57M07
MathSciNet review: 1158006
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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$.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1993-1158006-X
PII: S 0002-9939(1993)1158006-X
Article copyright: © Copyright 1993 American Mathematical Society