On F-injectors of Fitting set of a finite group

Nanying Yang, Wenbin Guo, N. T. Vorobev

Let $G$ be some generalized $\pi$-soluble groups and $\mathcal{F}$ be a Fitting set of $G$. In this paper, we prove the existence and conjugacy of $\mathcal{F}$-injectors of $G$, and give…