Geometry & Topology Monographs 1 (1998), The Epstein Birthday Schrift, paper no. 6, pages 127-138.

On the Burau representation modulo a small prime

D Cooper and D D Long

Abstract. 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

AMS subject classification. Primary: 20F36. Secondary: 57M07 57M25.

E-print: arXiv:math.GT/9810191

Submitted: 26 August 1997. Published: 26 October 1998.

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D Cooper and D D Long
Department of Mathematics
University of California
Santa Barbara, CA 93106, USA

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