ON MINIMAL NON-𝓠𝓝𝑺-GROUPS

Title & Authors
ON MINIMAL NON-𝓠𝓝𝑺-GROUPS
Han, Zhangjia; Shi, Huaguo; Chen, Guiyun;

Abstract
A finite group G is called a $\small{\mathcal{QNS}}$-group if every minimal subgroup X of G is either quasinormal in G or self-normalizing. In this paper the authors classify the non-$\small{\mathcal{QNS}}$-groups whose proper subgroups are all $\small{\mathcal{QNS}}$-groups.
Keywords
minimal subgroups;quasinormal subgroups;self-normalizing sub-groups;$\small{\mathcal{QNS}}$-groups;minimal non-$\small{\mathcal{QNS}}$-groups;
Language
English
Cited by
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