OD-characterization of Almost Simple Groups Related to displaystyle D4(4)

Author(s):

G. R. Rezaeezadeh , M. R. Darafsheh , M. Bibak , M. Sajadi

Message:
Abstract:
Let $G$ be a finite group and $pi_{e}(G)$ be the set of orders of all elements in $G$. The set $pi_{e}(G)$ determines the prime graph (or Grunberg-Kegel graph) $Gamma(G)$ whose vertex set is $pi(G)$, the set of primes dividing the order of $G$, and two vertices $p$ and $q$ are adjacent if and only if $pqinpi_{e}(G)$. The degree $deg(p)$ of a vertex $pin pi(G)$, is the number of edges incident on $p$. Let $pi(G)={p_{1},p_{2},...,p_{k}}$ with $p_{1}
Keywords:

Degree pattern , $k$ , fold OD , characterizable , Almost simple group

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:10 Issue: 1, May 2015
Pages:
23 to 43
https://www.magiran.com/p1401954