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The Faithfulness Question for the Burau Representation
Proceedings of the American Mathematical Society
Vol. 119, No. 2 (Oct., 1993), pp. 671-679
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2159956
Page Count: 9
You can always find the topics here!Topics: Braiding, Commutators, Complex numbers, Integers, Polynomials, Closed curves, Sufficient conditions, Knots, Counterexamples
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We consider the Burau and Gassner representations of the braid groups Bn. 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 ≥ 10.
Proceedings of the American Mathematical Society © 1993 American Mathematical Society