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On the kernel of the Magnus representation of the Torelli group
Author(s):
Masaaki
Suzuki
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1865-1872.
MSC (2000):
Primary 57M05;
Secondary 20F34, 57N05
Posted:
December 20, 2004
MathSciNet review:
2120289
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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:
10.1090/S0002-9939-04-07766-4
PII:
S 0002-9939(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
Posted:
December 20, 2004
Additional Notes:
The author was supported in part by JSPS Research Fellowships for Young Scientists.
Communicated by:
Ronald A. Fintushel
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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