On the multilinear identities which hold in the Lie ring of a group of prime-power exponent

DOI10.1016/0021-8693(86)90230-9zbMath0603.20017OpenAlexW1996920017WikidataQ115366735 ScholiaQ115366735MaRDI QIDQ1082436

B. George

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90230-9

zbMATH Keywords

finite \(p\)-groupsBurnside groupsLie ringsEngel identityHughes conjecturegeneralized Hughes subgrouppolylinear identityvariety of locally finite groups of prime exponent

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Nilpotent groups (20F18) Finite nilpotent groups, (p)-groups (20D15) Engel conditions (20F45) Associated Lie structures for groups (20F40)

Related Items (7)

Hughes problem for finite \(p\)-groups. ⋮ Understanding Wall's theorem on dependence of Lie relators in Burnside groups ⋮ A comment on periodic compact groups ⋮ The average element order and the number of conjugacy classes of finite groups ⋮ On counterexamples to the Hughes conjecture. ⋮ A nilpotent quotient algorithm for graded Lie rings ⋮ Construction of finite p-groups that admit partitions

Cites Work

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• Multilinear Lie relators for varieties of groups
• On the Artin-Hasse Exponential Series
• The Restricted Burnside Problem

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