Left 3-Engel elements in groups of exponent 5.

DOI10.1016/J.JALGEBRA.2014.05.017zbMath1306.20041OpenAlexW2047792279MaRDI QIDQ740236

Gunnar Traustason

Publication date: 2 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.05.017

zbMATH Keywords

nilpotent groupsEngel elementsHirsch-Plotkin radicalpower-commutator presentationsgroups of exponent \(5\)left \(3\)-Engel elementssandwich groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Nilpotent groups (20F18) Commutator calculus (20F12) Engel conditions (20F45)

Related Items (9)

Left 3-Engel elements in groups of exponent 60 ⋮ Powerful \(3\)-Engel groups ⋮ Sandwich groups and (strong) left 3-Engel elements in groups ⋮ Unnamed Item ⋮ Left $3$-Engel elements of odd order in groups ⋮ Left 3-Engel elements in locally finite 2-groups ⋮ A left 3-Engel element whose normal closure is not nilpotent ⋮ Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent ⋮ On groups with cubic polynomial conditions.

Uses Software

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Cites Work

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• Engelsche Elemente Noetherscher Gruppen
• The Engel elements of a soluble group
• Left 3-Engel elements in groups.
• SOLUTION OF THE RESTRICTED BURNSIDE PROBLEM FOR GROUPS OF ODD EXPONENT
• On the Right and Left 4-Engel Elements
• THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS
• Engel-4 Groups of Exponent 5
• Infinite Burnside groups of even exponent
• Refined solvable presentations for polycyclic groups
• Groups that are Pairwise Nilpotent
• A NOTE ON THE LOCAL NILPOTENCE OF 4-ENGEL GROUPS

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