Vol. 219, No. 2, 2005
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The kernel of Burau(4)×Zp is all pseudo-Anosov

Sang Jin Lee & Won Taek Song

Abstract

The kernel of Burau(4) × Zp, the reduced Burau representation with coeficients in Zp of the 4-braid group B4, consists only of pseudo-Anosov braids.
Keywords

braid group, Burau representation, all pseudo-Anosov

Mathematical Subject Classification

Primary: 20F36, 57M60
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