Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent

Gunnar Traustason; Marialaura Noce; Anastasia Hadjievangelou

doi:10.1142/S0218196721500077

Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent

Gunnar Traustason, Marialaura Noce, Anastasia Hadjievangelou

Department of Mathematical Sciences

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Abstract

For any odd prime p, we give an example of a locally finite p-group G containing a left 3-Engel element x where ⟨x⟩G is not nilpotent.

Original language	English
Pages (from-to)	135-160
Journal	International Journal of Algebra and Computation
Volume	31
Issue number	1
Early online date	24 Oct 2020
DOIs	https://doi.org/10.1142/S0218196721500077
Publication status	Published - 31 Dec 2020

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LocpL3Engel.pdf
Electronic version of an article published as International Journal of Algebra and Computation, 2020 10.1142/S0218196721500077 © [copyright World Scientific Publishing Company] https://www.worldscientific.com/doi/abs/10.1142/S0218196721500077
Accepted author manuscript, 385 KB

Left 3-Engel Elements in Groups
Traustason, G.
Engineering and Physical Sciences Research Council
1/08/17 → 31/05/22
Project: Research council

Cite this

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Locally finite p-groups with a left 3-Engel element whose normal closure is not nilpotent

Abstract

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Left 3-Engel Elements in Groups

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