On the number of connected components of divisibility graph for certain simple groups
نویسندگان
1 University of Shahrekord,
2 Shahrekord University
doi
10.22108/toc.2016.8595چکیده
The divisibility graph $\mathscr{D}(G)$ for a finite group $G$ is a graph with vertex set $cs(G)\setminus\{1\}$ where $cs(G)$ is the set of conjugacy class sizes of $G$. Two vertices $a$ and $b$ are adjacent whenever $a$ divides $b$ or $b$ divides $a$. In this paper we will find the number of connected components of $\mathscr{D}(G)$ where $G$ is a simple Zassenhaus group or an sporadic simple group.
