English

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

Group Theory 2018-11-30 v1

Abstract

We give an example of a locally nilpotent group GG containing a left 33-Engel element xx where xG\langle x\rangle^{G} is not nilpotent.

Keywords

Cite

@article{arxiv.1811.12074,
  title  = {A left $3$-Engel element whose normal closure is not nilpotent},
  author = {Marialaura Noce and Gareth M. Tracey and Gunnar Traustason},
  journal= {arXiv preprint arXiv:1811.12074},
  year   = {2018}
}
R2 v1 2026-06-23T06:24:55.829Z