论文标题
留下$ 3 $ - ENGEL元素，分别为60美元
Left $3$-Engel elements in groups of exponent $60$
论文作者
论文摘要
让$ g $为一个组，让$ x \ in g $为$ 3 $的订单元素，分配$ 60 $。假设此外，$ \ langle x \ rangle^{g} $没有订单$ 8 $，$ 9 $和$ 25 $的要素。我们表明，$ x $随后包含在本地nilpotent的$ g $中。特别是，一组指数$ 60 $的所有左$ 3 $ - ENGEL元素都包含在本地nilpotent激进分子中。
Let $G$ be a group and let $x\in G$ be a left $3$-Engel element of order dividing $60$. Suppose furthermore that $\langle x\rangle^{G}$ has no elements of order $8$, $9$ and $25$. We show that $x$ is then contained in the locally nilpotent radical of $G$. In particular all the left $3$-Engel elements of a group of exponent $60$ are contained in the locally nilpotent radical.
