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On the Burau representation modulo a small prime

arXiv:math/9810191

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.

12 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper6.abs.html