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

چکیده مقاله

Let G be a finite group. We let m(G) and σ(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 m(G) ≤ 2σ(G).