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

Haipeng Qu, Junqiang Zhang

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