Left 3-Engel elements in groups
| dc.creator | Abdollahi, Alireza | |
| dc.date | 2002-12-24 | |
| dc.date | 2003-08-07 | |
| dc.date.accessioned | 2026-07-07T04:54:02Z | |
| dc.date.available | 2026-07-07T04:54:02Z | |
| dc.description | In 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 $G$. | |
| dc.description | A serious error in the proof Theorem 1.2, the correct proof, also correcting some misprints | |
| dc.identifier | https://arxiv.org/abs/math/0212332 | |
| dc.identifier | http://arxiv.org/abs/math/0212332 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66089 | |
| dc.subject | Group Theory | |
| dc.subject | 20F45 | |
| dc.title | Left 3-Engel elements in groups | |
| dc.type | text |