The Structure of $G/Φ(G)$ in Terms of $σ(G)$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75837Let $G$ 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 $n$ proper subgroups, respectively. In this paper we determine the structure of $G/Φ(G)$ when $G$ is a finite soluble group with $\f{m}(G)\leq 2\sig(G)$.10 pages, to appear in Algebra ColloquiumGroup Theory20D10The Structure of $G/Φ(G)$ in Terms of $σ(G)$text