On finite generation of the Johnson filtrations (Q2135443)

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scientific article; zbMATH DE number 7523092
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On finite generation of the Johnson filtrations
scientific article; zbMATH DE number 7523092

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    On finite generation of the Johnson filtrations (English)
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    6 May 2022
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    Summary: 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.
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    mapping class groups
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    Torelli groups
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    automorphism groups of free groups
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    BNS invariant
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