2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66089In this paper we study left 3-Engel elements in groups. In particular, we prove that for any prime $p$ and any left 3-Engel element $x$ of finite $p$-power order in a group $G$, $x^p$ is in the Baer radical of $G$. Also it is proved that $<x,y>$ is nilpotent of class 4 for every two left 3-Engel elements in a group $G$.A serious error in the proof Theorem 1.2, the correct proof, also correcting some misprintsGroup Theory20F45text