Locally nilpotent 4-Engel groups are Fitting groups.

DOI10.1016/J.JALGEBRA.2003.07.012zbMath1039.20017OpenAlexW2044127410MaRDI QIDQ1418999

Gunnar Traustason

Publication date: 14 January 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2003.07.012

zbMATH Keywords

Engel conditionslocally nilpotent groupsFitting groupsFitting degrees

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Commutator calculus (20F12) Engel conditions (20F45)

Related Items (8)

ON A PROBLEM OF P. HALL FOR ENGEL WORDS II ⋮ Unnamed Item ⋮ On a problem of P. Hall for Engel words. ⋮ 4-ENGEL GROUPS ARE LOCALLY NILPOTENT ⋮ RIGHT 4-ENGEL ELEMENTS OF A GROUP ⋮ TWO GENERATOR 4-ENGEL GROUPS ⋮ On 4-Engel Groups ⋮ Embeddings of \(n\)-Engel marginal subgroups in compact groups

Cites Work

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• A nilpotent quotient algorithm for graded Lie rings
• On soluble Engel groups and Lie algebras
• On \(4\)-Engel groups
• Multilinear Lie relators for varieties of groups
• A class of three-Engel groups
• Engelsche Elemente der Länge drei. (Engel elements of length three.)
• Engel-4 Groups of Exponent 5. II. Orders
• Semigroup identities in 4-Engel groups
• Subnormality conditions in non-torsion groups
• ENGEL LIE-ALGEBRAS
• Engel-4 Groups of Exponent 5
• On locally finite 𝑝-groups satisfying an Engel condition
• Third Engel groups and the Macdonald-Neumann conjecture
• On three-Engel groups
• Third-Engel 2-Groups are Soluble

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