$D_{p}(3)$ $(p \geq 5)$ can be characterized by its order components
Tom 126 / 2012
Colloquium Mathematicum 126 (2012), 257-268
MSC: 20D05, 20D60.
DOI: 10.4064/cm126-2-8
Streszczenie
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.