A New Characterization of PSL($2, q$) for Some $q$

• Date: 2015
• Main Authors: Amiri, S. S. S., Asboei, A. K., Iranmanesh, A., Аміри, С. С. С., Асбо, А. К., Іранманеш, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2054
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $G$ be a finite group and let $π_e (G)$ be the set of orders of elements from $G$. Let $k ∈ π_e (G)$ and let $m_k$ be the number of elements of order $k$ in $G$. We set nse $(G) := \{m_k | k ∈ π_e (G)\}$. It is proved that PSL($2, q$) are uniquely determined by nse (PSL($2, q$)), where $q ∈ \{5,...