论文标题
有限组中消失的元素的比例
Proportions of vanishing elements in finite groups
论文作者
论文摘要
在本文中，我们研究了有限群体消失元素的比例。我们表明，每个有限非亚伯群体的消失要素的比例在下面以$ 1/2 $的限制，并对所有有限群体的比例分类为消失的元素都达到了这一目标。对于对称学位至少$ 5 $的对称群体，我们表明这种界限至少为$ 2327/2520 $，这是最好的。
In this paper, we study the proportion of vanishing elements of finite groups. We show that the proportion of vanishing elements of every finite non-abelian group is bounded below by $1/2$ and classify all finite groups whose proportions of vanishing elements attain this bound. For symmetric groups of degree at least $5$, we show that this bound is at least $2327/2520$ which is best possible.
