Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2013.01.11
  • Published : 2013.11.30
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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.

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References

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Cited by

  1. Minimal non-𝒬𝒮-groups pp.1793-6500, 2019, https://doi.org/10.1142/S0218196719500231