The Structure of $G/\Phi (G)$ in Terms of $\sigma (G)$

Alireza Jamali, Hamid Mousavi

Let $G$ be a finite group. We let $\f{m}(G)$ and $\sig(G)$ denote the number of maximal subgroups of $G$ and the least positive integer $n$ such that $G$ is written as the union of…