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http://dx.doi.org/10.4134/BKMS.2013.50.6.2079

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

Han, Zhangjia (School of Applied Mathematics Chengdu University of Information Technology)
Shi, Huaguo (Sichuan Vocational and Technical College)
Zhou, Wei (School of Mathematics and Statistics Southwest University)

Publication Information

Bulletin of the Korean Mathematical Society / v.50, no.6, 2013 , pp. 2079-2087 More about this Journal

Abstract

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;

Citations & Related Records

Reference

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