The Magnus representation of the Torelli group ℐ_{ℊ,1} is not faithful for ℊ≥2

Suzuki, Masaaki

doi:10.1090/S0002-9939-01-06128-7

The Magnus representation of the Torelli group $\mathcal {I}_{g,1}$ is not faithful for $g \geq 2$
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Proc. Amer. Math. Soc. 130 (2002), 909-914 Request permission

Abstract:

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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