2 problems

Let $\mathcal{H}$ be the class of finite groups satisfying … and let Theorem … . It might also contain simple and nonsimple groups that do not necessarily possess a nontrivial part…

Let $G$ be a finite group, let $\mathbf{B}(G)$ denote its global breadth, and let … A finite group has a nontrivial partition in the sense of Baer, Kegel and Kontorovich. Global-br…