On finite generation of the Johnson filtrations
Group Theory
2022-06-14 v3 Geometric Topology
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.
Keywords
Cite
@article{arxiv.1711.04779,
title = {On finite generation of the Johnson filtrations},
author = {Thomas Church and Mikhail Ershov and Andrew Putman},
journal= {arXiv preprint arXiv:1711.04779},
year = {2022}
}
Comments
37 pages, 3 figures. Major revision (especially to Section 5), to appear in JEMS