The Johnson-Morita theory for the ring of Fricke characters of free groups.

DOI10.2140/PJM.2015.275.443zbMath1345.20047OpenAlexW766924731MaRDI QIDQ2346535

Takao Satoh

Publication date: 2 June 2015

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2015.275.443

zbMATH Keywords

automorphism groups of free groupsJohnson homomorphismsIA-automorphism groupsrings of Fricke charactersAndreadakis-Johnson filtrations

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Cohomology of groups (20J06) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

On the Universal SL₂-Representation Rings of Free Groups ⋮ On the graded quotients of the \(\operatorname{SL}_m\)-representation algebras of groups ⋮ On the SL(2, C)-representation rings of free abelian groups

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