Bulletin of the Korean Mathematical Society (๋Œ€ํ•œ์ˆ˜ํ•™ํšŒ๋ณด)

Korean Mathematical Society (๋Œ€ํ•œ์ˆ˜ํ•™ํšŒ)
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ON MINIMAL NON-๐“ ๐“๐‘บ-GROUPS

  • Han, Zhangjia (School of Applied Mathematics Chengdu University of Information Technology) ;
  • Shi, Huaguo (Sichuan Vocational and Technical College) ;
  • Chen, Guiyun (School of Mathematics and Statistics Southwest University)
  • Received : 2013.08.16
  • Published : 2014.07.31
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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

References

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  1. Minimal non-๐’ฌ๐’ฎ-groups pp.1793-6500, 2019, https://doi.org/10.1142/S0218196719500231