TWO GENERATOR 4-ENGEL GROUPS

DOI10.1142/S0218196705002189zbMath1081.20047MaRDI QIDQ5461666

Gunnar Traustason

Publication date: 26 July 2005

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

Engel conditionslocally nilpotent groupscommutator calculusFitting groupstorsion elementsEngel identities4-Engel groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Commutator calculus (20F12) Engel conditions (20F45)

Related Items (3)

The local nilpotence theorem for 4-Engel groups revisited ⋮ 4-ENGEL GROUPS ARE LOCALLY NILPOTENT ⋮ A NOTE ON THE LOCAL NILPOTENCE OF 4-ENGEL GROUPS

Cites Work

• Powerful 2-Engel groups. II.
• On soluble Engel groups and Lie algebras
• Locally nilpotent 4-Engel groups are Fitting groups.
• On \(4\)-Engel groups
• Engel-4 Groups of Exponent 5. II. Orders
• 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

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