Finite Groups Which Are Minimal With Respect to S-Quasinormality and Self-Normality

Abstract

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