Groups whose non-normal subgroups are either nilpotent or minimal non-nilpotent

Nasrin Dastborhan, Hamid Mousavi

Let $\mathfrak{Nil}$ be the class of nilpotent groups and $G$ be a group. We call $G$ a meta-$\mathfrak{Nil}$-Hamiltonian group if any of its non-$\mathfrak{Nil}$ subgroups is norm…