The Lower Central Series of the Group 〈x, y: x p = 1 〉

DOI10.2307/2040928zbMath0393.20024OpenAlexW2087228316MaRDI QIDQ4175759

John P. Labute

Publication date: 1977

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2040928

zbMATH Keywords

Free Group on the Two GeneratorsLie Algebra Associated with the Lower Central SeriesLower-Central-Series Lie Algebra

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Universal enveloping (super)algebras (17B35) Infinite-dimensional Lie (super)algebras (17B65) Commutator calculus (20F12) Associated Lie structures for groups (20F40)

Related Items (4)

Free Lie Algebras as Modules Over Their Enveloping Algebras ⋮ Nonassociative rings ⋮ The Determination of the Lie Algebra Associated to the Lower Central Series of a Group ⋮ Regular maps with nilpotent automorphism group

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