Linking of letters and the lower central series of free groups

DOI10.1080/00927872.2022.2042544OpenAlexW3032455999MaRDI QIDQ5085161

Dev P. Sinha, Jeff Monroe

Publication date: 27 June 2022

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

Full work available at URL: https://arxiv.org/abs/2006.00989

zbMATH Keywords

free Lie algebrasfree groupslower central series

Mathematics Subject Classification ID

Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14) Hopf invariants (55Q25)

Cites Work

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• The left greedy Lie algebra basis and star graphs
• Lie coalgebras and rational homotopy theory. I: Graph coalgebras
• A right normed basis for free Lie algebras and Lyndon-Shirshov words
• Free Lie superalgebras, trees and chains of partitions
• Free differential calculus. I: Derivation in the free group ring
• Link groups
• Homotopy theory of complete Lie algebras and Lie models of simplicial sets
• Lie coalgebras and rational homotopy theory II: Hopf invariants
• A formula for topology/deformations and its significance
• Free differential calculus. IV: The quotient groups of the lower central series

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