Recognition of the groups $L_5(4)$ and $U_4(4)$ by the prime graph

• Date: 2012
• Main Authors: Darafsheh, M. R., Nosratpour, P., Дарафшех, М. Р., Носратпур, П.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2567
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $G$ be a finite group. The prime graph of $G$ is the graph $\Gamma(G)$ whose vertex set is the set $\Pi(G)$ of all prime divisors of the order $|G|$ and two distinct vertices $p$ and $q$ of which are adjacent by an edge if $G$ has an element of order $pq$. We prove that if $S$ denotes one of t...