- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 On minimal non-$\mathcal{QNS}$-groups Bull. Korean Math. Soc. 2014 Vol. 51, No. 4, 1063-1073 https://doi.org/10.4134/BKMS.2014.51.4.1063Published online July 31, 2014 Zhangjia Han, Huaguo Shi, and Guiyun Chen Chengdu University of Information Technology, Sichuan Vocational and Technical College, Southwest University Abstract : A finite group $G$ is called a $\mathcal{QNS}$-group if every minimal subgroup $X$of $G$ is either quasinormal in $G$ or self-normalizing. In this paper the authors classify the non-$\mathcal{QNS}$-groups whose proper subgroups are all $\mathcal{QNS}$-groups. Keywords : minimal subgroups, quasinormal subgroups, self-normalizing subgroups, $\mathcal{QNS}$-groups, minimal non-$\mathcal{QNS}$-groups MSC numbers : 20D35, 20E34 Downloads: Full-text PDF