Power closure and the Engel condition

DOI10.1007/BF02774041zbMath0871.17016MaRDI QIDQ1355266

James F. Semple, David M. Riley

Publication date: 19 May 1997

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

zbMATH Keywords

residually nilpotentEngel condition\(n\)-power closedLie \(p\)-algebra

Mathematics Subject Classification ID

Conditions on elements (16U99) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items (6)

Restricted Lie algebras of maximal class ⋮ PI-algebras generated by nilpotent elements of bounded index ⋮ When is a power of the Frobenius map on a noncommutative ring a homomorphism? ⋮ Dimension subgroups and \(p\)-th powers in \(p\)-groups. ⋮ Radical rings with Engel conditions ⋮ Behaviour of the Frobenius map in a noncommutative world

Cites Work

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• Powerful \(p\)-groups. I: Finite groups.
• Powerful \(p\)-groups. II: \(p\)-adic analytic groups
• The nilpotency of the radical in a finitely generated P.I. ring
• On associative algebras satisfying the Engel condition
• Frattini theory for restricted Lie algebras
• Characterization of \(p\)-adic analytic groups in terms of wreath products
• The power structure of \(p\)-groups. I
• Analytic pro-\(p\) groups and their graded group rings
• Completion of restricted Lie algebras
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• A SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR 2-GROUPS
• Polynomial Identities in Graded Group Rings, Restricted Lie Algebras and p-Adic Analytic Groups

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