Generators and relations of ``lower-triangular automorphism groups of free groups

DOI10.1016/j.jpaa.2020.106340zbMath1452.20031OpenAlexW3006058630MaRDI QIDQ1985759

Takao Satoh

Publication date: 7 April 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2020.106340

zbMATH Keywords

automorphism groups of free groupsHeisenberg groupsIA-automorphism groupssecond homology groupspresentation of groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphism groups of groups (20F28) Free nonabelian groups (20E05)

Cites Work

• A presentation for the special automorphism group of a free group
• The non-finite presentability of \(IA(F_ 3)\) and \(\text{GL}_ 2(Z[t,t^{-1})\)]
• The cohomology of the integer Heisenberg groups
• On the stable Andreadakis problem
• On the second homology group of the Torelli subgroup of \(\Aut(F_n)\)
• Homology of Integral Upper-Triangular Matrices
• A Presentation for the Automorphism Group of a Free Group of Finite Rank
• On the Andreadakis conjecture restricted to the “lower-triangular” automorphism groups of free groups
• A survey of the Johnson homomorphisms of the automorphism groups of free groups and related topics

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