The Johnson filtration of the McCool stabilizer subgroup of the automorphism group of a free group

DOI10.1090/S0002-9939-2010-10550-6zbMath1226.20026OpenAlexW2082578561MaRDI QIDQ2997180

Takao Satoh

Publication date: 6 May 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2010-10550-6

zbMATH Keywords

automorphism groups of free groupsdescending central serieslower central seriesIA-automorphism groupsJohnson filtrations

Mathematics Subject Classification ID

Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14)

Related Items (2)

The third subgroup of the Andreadakis-Johnson filtration of the automorphism group of a free group ⋮ On the low-dimensional cohomology groups of the IA-automorphism group of the free group of rank three

Cites Work

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• The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
• An abelian quotient of the mapping class group \(\mathfrak S\)
• Abelian quotients of subgroups of the mapping class group of surfaces
• The non-finite presentability of \(IA(F_ 3)\) and \(\text{GL}_ 2(Z[t,t^{-1})\)]
• The Johnson homomorphism and the second cohomology of \(\text{IA}_n\).
• Über \(n\)-dimensionale Gittertransformationen
• NEW OBSTRUCTIONS FOR THE SURJECTIVITY OF THE JOHNSON HOMOMORPHISM OF THE AUTOMORPHISM GROUP OF A FREE GROUP
• Some Remarks on IA Automorphisms of Free Groups
• Infinitesimal presentations of the Torelli groups
• On the Automorphisms of Free Groups and Free Nilpotent Groups

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