Effective finite generation for \([\mathrm{IA}_n,\mathrm{IA}_n]\) and the Johnson kernel

DOI10.4171/ggd/727arXiv2010.09673MaRDI QIDQ6062659

Mikhail V. Ershov, Daniel Franz

Publication date: 6 November 2023

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09673

zbMATH Keywords

automorphism groups of free groupsmapping class groupsJohnson kernelTorelli subgroupBNS invariant

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Automorphism groups of groups (20F28) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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• The Bieri-Neumann-Strebel Invariants for Graph Groups
• The Bieri-Neumann-Strebel invariant for basis-conjugating automorphisms of free groups

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