论文标题
元素的溶解剂对有限组的结构的影响
The impact of the solubilizer of an element on the structure of a finite group
论文作者
论文摘要
令$ g $为有限的组，让$ x $为$ g $的元素。用$ \ sol_g（x）$表示所有$ y \ in g $的集合，使得$ x $和$ y $生成的组可溶。我们研究了$ \ sol_g（x）$对$ g $的结构的影响。
Let $G$ be a finite group, and let $x$ be an element of $G$. Denote by $\Sol_G(x)$ the set of all $y \in G$ such that the group generated by $x$ and $y$ is soluble. We investigate the influence of $\Sol_G(x)$ on the structure of $G$.
