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ON MINIMAL NON-QNS-GROUPS

Zhangjia Han|Guiyun Chen|Huaguo Shi
대한수학회 (The Korean Mathematical Society)|2014.08|대한수학회보 (Bulletin of the KMS)|제51권 제4호|pp. 1063-1073

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참고문헌

키워드

minimal subgroupsquasinormal subgroupsself-normalizing sub- groupsQNS-groupsminimal non-QNS-groups
주제분류수학

초록

A finite group G is called a 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-QNS-groups whose proper subgroups are all QNS-groups.

Abstract

A finite group G is called a 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-QNS-groups whose proper subgroups are all QNS-groups.

참고문헌 (14)

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  10. G. A. Miller, "Non-abelian groups in which every subgroup is abelian", Trans. Amer. Math. Soc, 4(4), pp.398~404 (1903)
  11. D. J. S. Robinson, "A Course in the Theory of Groups" (1993), Springer
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  14. L. Wang, "The Influence of Permutable Properties of Subgroups on the Structure of Finite Groups", Doctor, pp.2006

관련 논문AI추천

On minimal non-NSN-groupsGuiyun Chen, Huaguo Shi, Zhangjia Han대한수학회 · 대한수학회지2013 · 제50권 제3호Finite groups which are minimal with respect to s-quasinormality and self-normalityHuagui Shi, Wei Zhou, Zhangjia Han대한수학회 · 대한수학회보2013 · 제50권 제6호Finite groups which have many normal subgroupsHaipeng Qu, Mingyao Xu, Qinhai Zhang, Xiaoqiang Guo대한수학회 · 대한수학회지2009 · 제46권 제6호Finite groups all of whose maximal subgroups are SB-groupsHailiang Zhang, Junxin Wang, Pengfei Guo대한수학회 · 대한수학회보2014 · 제51권 제4호Finite $p$-groups whose normal closures of non-normal subgroups have two ordersLifang Wang대한수학회 · 대한수학회지2022 · 제59권 제4호FINITE p-GROUPS WHOSE NON-ABELIAN SUBGROUPS HAVE THE SAME CENTERLifang Wang대한수학회 · 대한수학회지2017 · 제54권 제4호

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