The cokernel of the Johnson homomorphisms of the automorphism group of a free metabelian group

DOI10.1090/S0002-9947-08-04767-3zbMath1171.20024OpenAlexW2023022264MaRDI QIDQ3623386

Takao Satoh

Publication date: 17 April 2009

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04767-3

zbMATH Keywords

automorphism groupslower central seriesJohnson homomorphismsfree metabelian groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Cohomology of groups (20J06) Automorphism groups of groups (20F28) Derived series, central series, and generalizations for groups (20F14)

Related Items

On the Universal SL₂-Representation Rings of Free Groups, On the basis-conjugating automorphism groups of free groups and free metabelian groups, On the rings of Fricke characters of free abelian groups, Quotient groups of IA-automorphisms of a free group of rank 3, On the augmentation quotients of the IA-automorphism group of a free group., On the derivation algebra of the free Lie algebra and trace maps, On the graded quotients of the \(\operatorname{SL}_m\)-representation algebras of groups, Infinite generation of the kernels of the Magnus and Burau representations., On the lower central quotients of the free groups of finite rank of a certain variety., A reduction of the target of the Johnson homomorphisms of the automorphism group of a free group, The kernel of the Magnus representation of the automorphism group of a free group is not finitely generated, On the SL(2, C)-representation rings of free abelian groups, On the low-dimensional cohomology groups of the IA-automorphism group of the free group of rank three, On the graded quotients of the rings of Fricke characters of free groups.

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