The Burau representation is not faithful for n=5.
Bigelow, Stephen
Geometry & Topology, Tome 3 (1999), p. 397-404 / Harvested from The Electronic Library of Mathematics
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Publié le : 1999-01-01
DOI : https://doi.org/10.2140/gt.1999.3.397
EUDML-ID : urn:eudml:doc:120449 
@article{01388236,
     title = {The Burau representation is not faithful for },
     journal = {Geometry \& Topology},
     volume = {3},
     year = {1999},
     pages = {397-404},
     doi = {10.2140/gt.1999.3.397},
     zbl = {0942.20017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/01388236}
}

Bigelow, Stephen. The Burau representation is not faithful for . Geometry & Topology, Tome 3 (1999) pp. 397-404. doi : 10.2140/gt.1999.3.397. http://gdmltest.u-ga.fr/item/01388236/