The Magnus representation of the Torelli group is not faithful for

Author:
Masaaki Suzuki

Journal:
Proc. Amer. Math. Soc. **130** (2002), 909-914

MSC (2000):
Primary 57M05; Secondary 20F34, 57N05

Published electronically:
June 8, 2001

MathSciNet review:
1866048

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-01-06128-7

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

Published electronically:
June 8, 2001

Communicated by:
Ronald A. Fintushel

Article copyright:
© Copyright 2001
American Mathematical Society