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On Finite Groups with Some Minimal Subgroups Weakly Supplemented

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ARTICLE DOWNLOAD

On Finite Groups with Some Minimal Subgroups Weakly Supplemented

10.00$

Qingjun Kong & Jingdi Li 

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=HKG=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.

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Year 2020
Language English
Format PDF
DOI 10.1007/s40840-019-00846-1