On certain subgroups of the McCool group

DOI10.1142/S0218196720500320OpenAlexW3005706457MaRDI QIDQ5123717

C. E. Kofinas

Publication date: 29 September 2020

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196720500320

zbMATH Keywords

natural embeddingassociated Lie algebrabasis conjugating automorphismspartial inner automorphism groupupper McCool group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Automorphism groups of groups (20F28) Associated Lie structures for groups (20F40)

Cites Work

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• Topological complexity of basis-conjugating automorphism groups.
• The lower central series of a fiber-type arrangement
• The pure braid groups and their relatives
• IA-automorphisms and Lie algebras related to the McCool group
• Subgroups, automorphisms, and Lie algebras related to the basis-conjugating automorphism group
• On the McCool groupM₃and its associated Lie algebra
• Lie Powers of Modules for Groups of Prime Order
• On Basis-Conjugating Automorphisms of Free Groups
• Quotient groups of IA-automorphisms of a free group of rank 3
• On the Automorphisms of Free Groups and Free Nilpotent Groups
• On the Andreadakis conjecture restricted to the “lower-triangular” automorphism groups of free groups
• Sur les groupes nilpotents et les anneaux de Lie

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