Left 3-Engel elements in groups

Details Left 3-Engel elements in groups Left 3-Engel elements in groups

2002-12-24

arxiv.org/abs/math/0212332v2

Mathematics

Group Theory

A serious error in the proof Theorem 1.2, the correct proof, also correcting some misprints

Scientific paper

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 $$ is nilpotent of class 4 for every two left 3-Engel elements
in a group $G$.

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