A class function on the Torelli group

Masaaki Suzuki

doi:10.2996/kmj/1073670611

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Home > Journals > Kodai Math. J. > Volume 26 > Issue 3 > Article

October 2003 A class function on the Torelli group

Masaaki Suzuki

Kodai Math. J. 26(3): 304-316 (October 2003). DOI: 10.2996/kmj/1073670611

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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.