A left 3-Engel element whose normal closure is not nilpotent

2018/11/29 by Noce, Marialaura, Tracey, Gareth M., Traustason, Gunnar
#20F40 #20F45 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1811.12074

Abstract

We give an example of a locally nilpotent group G containing a left 3-Engel element x where ⟨ x⟩^G is not nilpotent.

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