English

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

Group Theory 2020-07-21 v1

Abstract

For any odd prime pp, we give an example of a locally finite pp-group GG containing a left 3-Engel element xx where xG\langle x \rangle^G is not nilpotent.

Keywords

Cite

@article{arxiv.2007.09882,
  title  = {Locally finite $p$-groups with a left 3-Engel element whose normal closure is not nilpotent},
  author = {Anastasia Hadjievangelou and Marialaura Noce and Gunnar Traustason},
  journal= {arXiv preprint arXiv:2007.09882},
  year   = {2020}
}
R2 v1 2026-06-23T17:14:11.347Z