Groups With the Same Prime Graph as an Almost Sporadic Simple Group

[摘要] Let $G$ be a finite group. We denote by $Gamma(G)$ the prime graph of $G$. Let $S$ be a sporadic simple group. M. Hagie in (Hagie, M. (2003), The prime graph of a sporadic simple group, Comm. Algebra, 31: 4405-4424) determined finite groups $G$ satisfying $Gamma(G)=Gamma(S)$. In this paper we determine finite groups $G$ such that $Gamma(G)=Gamma(A)$ where $A$ is an almost sporadic simple group, except $Aut (McL)$ and $Aut (J_2)$.

[学科分类] 数学（综合）

[关键词] order elements