JournalsjemsVol. 24, No. 8pp. 2875–2914

On finite generation of the Johnson filtrations

  • Thomas Church

    Stanford University, USA
  • Mikhail Ershov

    University of Virginia, Charlottesville, USA
  • Andrew Putman

    University of Notre Dame, USA
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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 is finitely generated in a linear stable range. This was originally proved for the second terms by Ershov and He.

Cite this article

Thomas Church, Mikhail Ershov, Andrew Putman, On finite generation of the Johnson filtrations. J. Eur. Math. Soc. 24 (2022), no. 8, pp. 2875–2914

DOI 10.4171/JEMS/1157