A generalisation of Schenkman's theorem

Stefanos Aivazidis, Ina N. Safonova, Alexander N. Skiba

Let $G$ be a finite group and let $\mathfrak{F}$ be a hereditary saturated formation. We denote by ${\mathbf{Z}}_{\mathfrak{F}}(G)$ the product of all normal subgroups $N$ of $G$ suc…