FINITE GROUPS WHICH ARE MINIMAL WITH RESPECT TO S-QUASINORMALITY AND SELF-NORMALITY

Title & Authors
FINITE GROUPS WHICH ARE MINIMAL WITH RESPECT TO S-QUASINORMALITY AND SELF-NORMALITY
Han, Zhangjia; Shi, Huaguo; Zhou, Wei;

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