论文标题
有限组的最大亚组数量的界限
Bounds on the number of maximal subgroups of finite groups
论文作者
论文摘要
在本文中，我们获得了有限基团的给定指数的最大亚组数量的显着界限。这些结果使我们能够为生成具有很高概率的有限$ D $生成组所需的随机发电机数量提供新的界限。
In this paper we obtain significant bounds for the number of maximal subgroups of a given index of a finite group. These results allow us to give new bounds for the number of random generators needed to generate a finite $d$-generated group with high probability.
