On the \(n\)-nilpotency

DOI10.1007/BF03322772zbMath1032.16019OpenAlexW2048309626MaRDI QIDQ1411543

Lakhdar Hammoudi

Publication date: 29 October 2003

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322772

zbMATH Keywords

Lie algebrasJordan algebrasnil algebrasresidually finite groupsresidually nilpotent groupsassociative algebrasnil radicalproducts of normal subgroupsconjugatesinfinite periodic groupssums of ideals

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Nilpotent groups (20F18) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Extensions, wreath products, and other compositions of groups (20E22) Residual properties and generalizations; residually finite groups (20E26) Solvable, nilpotent (super)algebras (17B30) Jordan structures associated with other structures (17C50) Noncommutative Jordan algebras (17A15)

Cites Work

• On Burnside's problem on periodic groups
• 2-generator Golod p-groups
• Nil radicals in groups
• On examples of associative nil algebras
• Examples of nil-algebras and of infinite groups.
• Structure theory for algebraic algebras of bounded degree
• Some problems of Burnside type
• On nil-algebras and finitely approximable 𝑝-groups
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