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JKMS
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ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2013; 50(3): 579-589
Printed May 1, 2013
https://doi.org/10.4134/JKMS.2013.50.3.579
Copyright © The Korean Mathematical Society.
On minimal non-NSN-groups
Zhangjia Han, Guiyun Chen, and Huaguo Shi
Chengdu University of Information Technology, Southwest University, Sichuan Vocational and Technical College
A finite group $G$ is called an NSN-group if every proper subgroup of $G$ is either normal in $G$ or self-normalizing. In this paper, the non-NSN-groups whose proper subgroups are all NSN-groups are determined.
Keywords: a normal subgroup, a self-normalizing subgroup, an NSN-group, a minimal non-NSN-group
MSC numbers: 20D35, 20E34
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