Finite groups with few conjugate classes of minimal non-abelian subgroups

Haipeng Qu, Junqiang Zhang

Let $G$ be a finite non-abelian group and ${\kappa }_1(G)$ the number of conjugate classes of minimal non-abelian subgroups of $G$. The structure of $G$ with ${\kappa }_1(G)=1$ is determined. In t…