activity
20082017
most citedFI-modules and stability for representations of symmetric groups

346 citations · 1.2k across the 23 of their papers we have counts for

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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.GT2009★ 10 cited

Some groups of mapping classes not realized by diffeomorphisms

Mladen Bestvina, Thomas Church, Juan Souto

Let S be a closed surface of genus g >= 2 and z in S a marked point. We prove that the subgroup of the mapping class group Map(S,z) corresponding to the fundamental group pi_1(S,z)…