Non-associative Gröbner bases, finitely-presented Lie rings and the Engel condition. II

DOI10.1016/j.jsc.2008.04.007zbMath1189.17002OpenAlexW2058994780MaRDI QIDQ1025387

Serena Cicalò, Willem A. De Graaf

Publication date: 18 June 2009

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2008.04.007

zbMATH Keywords

Gröbner basesfinitely-presented Lie ringsthe \(n\)-Engel condition

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Structure theory for Lie algebras and superalgebras (17B05) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (3)

On Lie algebras generated by few extremal elements ⋮ An extension of Gröbner basis theory to indexed polynomials without eliminations ⋮ Engel conditions and symmetric tensors

Uses Software

• GAP
• Magma
• LieRing

Cites Work

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• The groups with order \(p^7\) for odd prime \(p\).
• ENGEL LIE-ALGEBRAS
• On Zel'manov's solution of the restricted Burnside problem
• A Polynomial Upper Bound for the Nilpotency Classes of Engel-3 Lie Algebras over a Field of Characteristic 2

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