On the kernel of the Magnus representation of the Torelli group

Author:
Masaaki Suzuki

Journal:
Proc. Amer. Math. Soc. **133** (2005), 1865-1872

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

Published electronically:
December 20, 2004

MathSciNet review:
2120289

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: From our previous paper, it is known that the Magnus representation of the Torelli group is not faithful. In this paper, we characterize the kernel of its representation for a certain kind of elements.

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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:
http://dx.doi.org/10.1090/S0002-9939-04-07766-4

Keywords:
Magnus representation,
mapping class group,
faithful

Received by editor(s):
October 16, 2003

Received by editor(s) in revised form:
February 23, 2004

Published electronically:
December 20, 2004

Additional Notes:
The author was supported in part by JSPS Research Fellowships for Young Scientists.

Communicated by:
Ronald A. Fintushel

Article copyright:
© Copyright 2004
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.