On the lower central quotients of the free groups of finite rank of a certain variety.

DOI10.1016/j.jalgebra.2010.12.024zbMath1232.20038OpenAlexW2092068241MaRDI QIDQ716475

Takao Satoh

Publication date: 22 September 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.12.024

zbMATH Keywords

free groups of varietiesassociated graded Lie algebrasChen integration in free groups

Mathematics Subject Classification ID

Free nonabelian groups (20E05) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14) Commutator calculus (20F12) Associated Lie structures for groups (20F40)

Cites Work

• On the lower central series of the IA-automorphism group of a free group.
• Extending Witt's formula to free Abelian by nilpotent groups
• Abelian quotients of subgroups of the mapping class group of surfaces
• Integration in free groups
• A reduction of the target of the Johnson homomorphisms of the automorphism group of a free group
• The cokernel of the Johnson homomorphisms of the automorphism group of a free metabelian group
• Infinitesimal presentations of the Torelli groups
• A Contribution to the Theory of Groups of Prime-Power Order
• On the Automorphisms of Free Groups and Free Nilpotent Groups
• Varieties of groups
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