Conjectures on the normal covering number of the finite symmetric and alternating groups

Daniela Bubboloni, Cheryl E. Praeger, Pablo Spiga

Let $\gamma (S_n)$ be the minimum number of proper subgroups $H_i$ of the symmetric group $S_n$ such that each element in $S_n$ lies in some conjugate of one of the $H_i.$ In this paper…