On the augmentation quotients of the IA-automorphism group of a free group.

DOI10.2140/agt.2012.12.1239zbMath1261.20036OpenAlexW1977146337MaRDI QIDQ441069

Takao Satoh

Publication date: 20 August 2012

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2012.12.1239

zbMATH Keywords

automorphism groups of free groupsgroups of automorphismsintegral group ringslower central seriesJohnson homomorphismsaugmentation quotientsIA-automorphismsfree metabelian groups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14)

Cites Work

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• Augmentation quotients of group rings and symmetric powers
• Infinitesimal presentations of the Torelli groups
• Induced Automorphisms of Free Groups and Free Metabelian Groups
• On the Automorphisms of Free Groups and Free Nilpotent Groups

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