The Nilpotency Class of Finite Groups of Exponent p

DOI10.2307/2154863zbMath0832.20037OpenAlexW4237909779MaRDI QIDQ4321211

Michael Vaughan-Lee

Publication date: 22 February 1996

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154863

zbMATH Keywords

finite groupsassociated Lie algebrasEngel Lie algebrasnilpotent idealsnilpotency classKostrikin's theoremrestricted Burnside problem\(n\)-Engel Lie algebrasfinite \(m\)-generator group of prime-power exponentlargest finite \(m\)-generator group of exponent \(p\)nilpotent groups of exponent \(p\)

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Periodic groups; locally finite groups (20F50) Asymptotic results on counting functions for algebraic and topological structures (11N45) Nilpotent groups (20F18) Identities, free Lie (super)algebras (17B01) Finite nilpotent groups, (p)-groups (20D15) Solvable, nilpotent (super)algebras (17B30) Commutator calculus (20F12) Engel conditions (20F45) Associated Lie structures for groups (20F40)

Related Items (1)

Some Lie rings associated with Burnside groups

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