Bulletin of the
Korean Mathematical Society BKMS

An $\mathcal{SQNS}$-group $G$ is a group in which every proper subgroup of $G$ is either s-quasinormal or self-normalizing and a minimal non-$\mathcal{SQNS}$-group is a group which is not an $\mathcal{SQNS}$-group but all of whose proper subgroups are $\mathcal{SQNS}$-groups. In this note all the finite minimal non-$\mathcal{SQNS}$-groups are determined.

Keywords: s-quasinormal subgroups, self-normalizing subgroups, $\mathcal{SQNS}$-groups, minimal non-$\mathcal{SQNS}$-groups

MSC numbers: 20D35, 20E34