On the growth of subalgebras in Lie \(p\)-algebras

DOI10.1006/jabr.2000.8572zbMath1028.17012OpenAlexW2018161979WikidataQ115395741 ScholiaQ115395741MaRDI QIDQ5936950

Vladimir Tasić, David M. Riley

Publication date: 16 January 2003

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8572

zbMATH Keywords

polynomial subalgebra growthpolynomial subgroup growthpro-\(p\) grouprestricted Lie algebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Finite nilpotent groups, (p)-groups (20D15) Modular Lie (super)algebras (17B50)

Related Items (6)

One-sided ideal growth of free associative algebras. ⋮ Continuity of homomorphisms on pro-nilpotent algebras ⋮ Pro-finite \(p\)-adic Lie algebras ⋮ GROWTH OF SUBALGEBRAS FOR RESTRICTED LIE ALGEBRAS AND TRANSITIVE ACTIONS ⋮ Ideal growth in metabelian Lie \(p\)-algebras ⋮ On the periodic groups saturated with projective linear groups.

Cites Work

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• Powerful \(p\)-groups. I: Finite groups.
• Finitely generated groups of polynomial subgroup growth
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• Frattini theory for restricted Lie algebras
• Completion of restricted Lie algebras
• Lie algebras of finite subalgebra rank
• Lie \(p\)-algebras of finite \(p\)-subalgebra rank
• \(p\)-adic analytic groups
• Profinite Groups with Polynomial Subgroup Growth
• On the Growth of Ideals and Submodules
• Restricted Lie Algebras and Their Envelopes

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