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The Magnus representation of the Torelli group $\mathcal{I}_{g,1}$ is not faithful for $g \geq 2$

Author(s): Masaaki Suzuki
Journal: Proc. Amer. Math. Soc. 130 (2002), 909-914.
MSC (2000): Primary 57M05; Secondary 20F34, 57N05
Posted: June 8, 2001
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Abstract:

In this paper we consider the Magnus representation of the Torelli group. We prove that it is not faithful by showing a non-trivial element in the kernel of this representaion.

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Additional Information:

Masaaki Suzuki
Affiliation: Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro, Tokyo 153-8914, Japan
Email: macky@ms.u-tokyo.ac.jp

DOI: 10.1090/S0002-9939-01-06128-7
PII: S 0002-9939(01)06128-7
Keywords: Magnus representation, mapping class group, Torelli group
Received by editor(s): May 16, 2000
Received by editor(s) in revised form: August 30, 2000
Posted: June 8, 2001
Communicated by: Ronald A. Fintushel
Copyright of article: Copyright 2001, American Mathematical Society

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