Generating the Johnson filtration II: finite generation

Published 5 Apr 2017 in math.GT and math.GR | (1704.01529v2)

Abstract: We prove that every term of the lower central series and Johnson filtrations of the Torelli subgroups of the mapping class group and the automorphism group of a free group are finitely generated in a stable range. This was originally proved for the commutator subgroup by Ershov-He.

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