Kodai Mathematical Journal

A class function on the Torelli group

Masaaki Suzuki

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Abstract

The Magnus representation of the Torelli group has been defined in virtue of Fox derivation. The Torelli group is a significant subgroup of the mapping class group of a surface. In this paper, we show some properties of the characteristic polynomials of matrices obtained from the Magnus representation of the Torelli group, which is a class function on the Torelli group.

Article information

Source
Kodai Math. J., Volume 26, Number 3 (2003), 304-316.

Dates
First available in Project Euclid: 9 January 2004

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1073670611

Digital Object Identifier
doi:10.2996/kmj/1073670611

Mathematical Reviews number (MathSciNet)
MR2018724

Zentralblatt MATH identifier
1072.57014

Citation

Suzuki, Masaaki. A class function on the Torelli group. Kodai Math. J. 26 (2003), no. 3, 304--316. doi:10.2996/kmj/1073670611. https://projecteuclid.org/euclid.kmj/1073670611


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