Completion of restricted Lie algebras

DOI10.1007/BF02773682zbMath0817.17020MaRDI QIDQ1327511

David M. Riley, James F. Semple

Publication date: 8 August 1995

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

rankrestricted Lie algebrasanalogues of pro-\(p\) groupspro-\(p\) algebra

Mathematics Subject Classification ID

Topological and ordered rings and modules (16W80) Limits, profinite groups (20E18) Modular Lie (super)algebras (17B50)

Related Items (7)

The number of generators of ideals in graded group algebras and \(p\)-adic analytic pro-\(p\) groups of dimension one ⋮ Power closure and the Engel condition ⋮ Pro-finite \(p\)-adic Lie algebras ⋮ On the growth of subalgebras in Lie \(p\)-algebras ⋮ Restricted Lie algebras in which every restricted subalgebra is an ideal ⋮ On powerful andp-central restricted Lie algebras ⋮ Analytic pro-\(p\) groups and their graded group rings

Cites Work

• Powerful \(p\)-groups. I: Finite groups.
• Powerful \(p\)-groups. II: \(p\)-adic analytic groups
• Frattini theory for restricted Lie algebras
• Analytic pro-\(p\) groups and their graded group rings
• \(p\)-adic analytic groups
• Polynomial Identities in Graded Group Rings, Restricted Lie Algebras and p-Adic Analytic Groups
• Restricted Lie Algebras and Their Envelopes
• Sur les groupes nilpotents et les anneaux de Lie
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