$D_{p}(3)$ $(p \geq 5)$ can be characterized by its order components

Volume 126 / 2012

Huaguo Shi, Zhangjia Han, Guiyun Chen Colloquium Mathematicum 126 (2012), 257-268 MSC: 20D05, 20D60. DOI: 10.4064/cm126-2-8


Let $G$ be a finite group, and $M=D_{p}(3)$ ($p \geq 3$). It is proved that $G\cong M$ if $G$ and $M$ have the same order components.


  • Huaguo ShiSichuan Vocational and Technical College
    629000, Sichuan, P.R. China
  • Zhangjia HanSchool of Mathematics
    Chengdu University
    of Information Technology
    610225, Sichuan, P.R. China
  • Guiyun ChenSchool of Mathematics and Statistics
    Southwest University
    400715, Chongqing, P.R. China

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