Nil algebras and unipotent groups of finite width

DOI10.1006/aima.1999.1848zbMath0941.17018OpenAlexW2059141018MaRDI QIDQ1970024

Consuelo Martínez, Efim I. Zelmanov

Publication date: 3 August 2000

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cadccfd006c5b60534a984061ecb5956216fe6a4

zbMATH Keywords

homogeneous componentfinitely generated residually finite unipotent modulesgraded finitely generated Lie algebraresidually nilpotent graded Lie algebra

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Graded Lie (super)algebras (17B70)

Related Items (9)

Nonassociative algebras: some applications. ⋮ Fractal nil graded Lie superalgebras ⋮ Clover nil restricted Lie algebras of quasi-linear growth ⋮ Fractal just infinite nil Lie superalgebra of finite width ⋮ A note on set-theoretic solutions of the Yang-Baxter equation ⋮ Nil restricted Lie algebras of oscillating intermediate growth ⋮ Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras ⋮ On Jordan doubles of slow growth of Lie superalgebras ⋮ Nil Liep-algebras of slow growth

Cites Work

• On Burnside's problem on periodic groups
• Space groups and groups of prime-power order. I
• Introduction to algebra. Transl. from the Russian by Neal Koblitz
• Jordan pairs
• Narrow algebras and groups
• Linear pro-\(p\)-groups of finite width
• Lower central series of a group of tree automorphisms
• Growth of finitely generated solvable groups
• Affine algebras of Gelfand-Kirillov dimension one are PI
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