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On Finite Groups with Some Minimal Subgroups Weakly Supplemented

  • Qingjun KongEmail author
  • Jingdi Li
Article
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Abstract

A subgroup H of a finite group G is weakly supplemented in G if there exists a proper subgroup K of G such that \(G=HK\). In the paper, we present some sufficient and necessary conditions for a finite group to be p-nilpotent and solvable by using some weakly supplemented minimal subgroups. As applications, we extend some known results.

Keywords

Weakly supplemented subgroups p-nilpotent groups Solvable groups 

Mathematics Subject Classification

20D10 20D20 

Notes

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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2019

Authors and Affiliations

  1. 1.Department of MathematicsTianjin Polytechnic UniversityTianjinPeople’s Republic of China

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