Growth of subalgebras and subideals in free Lie algebras

DOI10.1016/j.jalgebra.2014.07.039zbMath1311.17003arXiv1307.1438OpenAlexW2962855835WikidataQ115350905 ScholiaQ115350905MaRDI QIDQ471884

Yu. A. Bakhturin, Alexander Yu. Ol'shanskii

Publication date: 17 November 2014

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

Full work available at URL: https://arxiv.org/abs/1307.1438

zbMATH Keywords

free associative algebrasfree Lie algebrasgrowth functions

Mathematics Subject Classification ID

Growth rate, Gelfand-Kirillov dimension (16P90) Identities, free Lie (super)algebras (17B01) (T)-ideals, identities, varieties of associative rings and algebras (16R10)

Related Items (3)

\(p\)-hyperbolicity of homotopy groups via \(K\)-theory ⋮ Subnormal subgroups in free groups, their growth and cogrowth ⋮ Pro‐p groups of positive rank gradient and Hausdorff dimension

Cites Work

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• Subnormal subgroups in free groups, their growth and cogrowth
• SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH
• Coset Representations in Free Groups

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