Groups with the Same Prime Graph as the Simple Group $D_n (5)$

• Date: 2014
• Main Authors: Babai, A., Khosravi, B., Бабай, А., Хосрави, B.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2162
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $G$ be a finite group. The prime graph of $G$ is denoted by $Γ(G)$. Let G be a finite group such that $Γ(G) = Γ(D_n (5))$, where $n ≥ 6$. In the paper, as the main result, we show that if $n$ is odd, then $G$ is recognizable by the prime graph and if $n$ is even, then $G$ is quasirecognizable by...