On the Generalized Fitting Height and Nonsoluble Length of the Mutually Permutable Products of Finite Groups

Viachaslau I. Murashka, Alexander F. Vasil'ev

The generalized Fitting height $h^{\ast }(G)$ of a finite group $G$ is the least number $h$ such that ${\mathrm{F}}_h^{\ast }(G)=G$, where ${\mathrm{F}}_{(0)}^{\ast }(G)=1$, and $\mathrm{F}_{(i+1)…