On the restricted Burnside problem

DOI10.1007/BF00970910zbMath0714.17015MaRDI QIDQ5895264

Efim I. Zelmanov

Publication date: 1989

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

locally nilpotentgroups of prime power exponentmodular Lie algebran-Engel conditionrestricted Burnside problem

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Structure theory for Lie algebras and superalgebras (17B05) Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30) Modular Lie (super)algebras (17B50)

Related Items

Chains of pseudocompact group topologies ⋮ Engel condition on enveloping algebras of Lie superalgebras ⋮ Fixed Algebras of Residually Nilpotent Lie Algebras

Cites Work

• Ein Verfahren, jeder endlichen \(p\)-Gruppe einen Lie-Ring mit der Charakteristik \(p\) zuzuordnen
• A connection between the Baker-Hausdorff formula and a problem of Burnside
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Groups of exponent eight
• Sur les groupes nilpotents et les anneaux de Lie
• On a problem of Kurosch and Jacobson
• On the radical of a general ring
• The higher commutator subgroups of a group
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