Bounds on the number of maximal subgroups of finite groups
arXiv:2203.05597 · doi:10.1007/s00025-022-01806-1
Abstract
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 -generated group with high probability.
18 pages