Generating the Johnson filtration II: finite generation
classification
🧮 math.GT
math.GR
keywords
groupjohnsonautomorphismcentralclasscommutatorershov-heevery
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read the original 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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