On the fourth Johnson homomorphism of the automorphism group of a free group.

DOI10.1016/j.jalgebra.2010.04.001zbMath1204.20048OpenAlexW2009739714MaRDI QIDQ984422

Takao Satoh

Publication date: 19 July 2010

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.04.001

zbMATH Keywords

automorphism groups of free groupslower central seriesJohnson homomorphismstrace mapscokernelsIA-automorphism groups

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14)

Related Items

On the Johnson filtration of the basis-conjugating automorphism group of a free group., On the lower central series of the IA-automorphism group of a free group., On the derivation algebra of the free Lie algebra and trace maps, A reduction of the target of the Johnson homomorphisms of the automorphism group of a free group

Cites Work

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• An abelian quotient of the mapping class group \(\mathfrak S\)
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• The non-finite presentability of \(IA(F_ 3)\) and \(\text{GL}_ 2(Z[t,t^{-1})\)]
• The Johnson homomorphism and the second cohomology of \(\text{IA}_n\).
• NEW OBSTRUCTIONS FOR THE SURJECTIVITY OF THE JOHNSON HOMOMORPHISM OF THE AUTOMORPHISM GROUP OF A FREE GROUP
• Infinitesimal presentations of the Torelli groups
• On the Automorphisms of Free Groups and Free Nilpotent Groups
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