Vol. 219, No. 2, 2005

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The kernel of Burau(4)×Zp is all pseudo-Anosov

Sang Jin Lee and Won Taek Song

Vol. 219 (2005), No. 2, 303–310
Abstract

The kernel of Burau(4) p, the reduced Burau representation with coefficients in p of the 4-braid group B4, consists only of pseudo-Anosov braids.

Keywords
braid group, Burau representation, all pseudo-Anosov
Mathematical Subject Classification 2000
Primary: 20F36, 57M60
Milestones
Received: 24 March 2004
Revised: 6 June 2004
Published: 1 April 2005
Authors
Sang Jin Lee
Department of Mathematics
Konkuk University
Gwangjin-gu, Seoul 143-701
Korea
Won Taek Song
School of Mathematics
Korea Institute for Advanced Study
207-43 Cheongnyangni 2-dong
Dongdaemun-gu, Seoul 130-722
Korea