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- W3100205404 abstract "We examine the Johnson filtration of the (outer) automorphism group of a finitely generated group. In the case of a free group, we find a surprising result: the first Betti number of the second subgroup in the Johnson filtration is finite. Moreover, the corresponding Alexander invariant is a non-trivial module over the Laurent polynomial ring. In the process, we show that the first resonance variety of the outer Torelli group of a free group is trivial. We also establish a general relationship between the Alexander invariant and its infinitesimal counterpart." @default.
- W3100205404 created "2020-11-23" @default.
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- W3100205404 date "2012-09-20" @default.
- W3100205404 modified "2023-09-26" @default.
- W3100205404 title "Homological finiteness in the Johnson filtration of the automorphism group of a free group" @default.
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- W3100205404 doi "https://doi.org/10.1112/jtopol/jts023" @default.
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