Kronecker classes, normal coverings and chief factors of groups

Marco Fusari, Scott Harper, Pablo Spiga

For a group $G$, a subgroup $U\le G$ and a group $\mathrm{Inn}(G)\le A\le \mathrm{Aut}(G)$, we say that $U$ is an $A$-covering group of $G$ if $G={\bigcup }_{a\in A}{U}^a$. A th…