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On the Burau representation modulo a small prime

Daryl Cooper and Darren D Long
Geometry & Topology Monographs 1 (1998) 127–138
DOI: 10.2140/gtm.1998.1.127

arXiv: math.GT/9810191
Abstract
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We discuss techniques for analysing the structure of the group obtained by reducing the image of the Burau representation of the braid group modulo a prime. The main tools are a certain sesquilinear form first introduced by Squier and consideration of the action of the group on a Euclidean building.

Keywords
Burau representation, braid group, Euclidean building, Squier form
Mathematical Subject Classification
Primary: 20F36
Secondary: 57M07 57M25
References
Publication
Received: 26 August 1997
Published: 22 October 1998
Authors
Daryl Cooper
Department of Mathematics
University of California
Santa Barbara CA 93106
USA
Darren D Long
Department of Mathematics
University of California
Santa Barbara CA 93106
USA