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math.GR2009★ 21 cited
Infinite generation of the kernels of the Magnus and Burau representations
Thomas Church, Benson Farb
Consider the kernel Mag_g of the Magnus representation of the Torelli group and the kernel Bur_n of the Burau representation of the braid group. We prove that for g >= 2 and for n…
math.GR2001★ 1 cited
A strong Schottky Lemma for nonpositively curved singular spaces
Roger C. Alperin, Benson Farb, Guennadi A. Noskov
In this paper we give a criterion for pairs of isometries of a nonpositively curved metric space to generate a free group. This criterion holds only in singular spaces, for example…