Groups with the Same Prime Graph as the Simple Group $D_n (5)$

  • A. Babai
  • B. Khosravi

Abstract

Let $G$ be a finite group. The prime graph of $G$ is denoted by $Γ(G)$. Let G be a finite group such that $Γ(G) = Γ(D_n (5))$, where $n ≥ 6$. In the paper, as the main result, we show that if $n$ is odd, then $G$ is recognizable by the prime graph and if $n$ is even, then $G$ is quasirecognizable by the prime graph.
Published
25.05.2014
How to Cite
Babai, A., and B. Khosravi. “Groups With the Same Prime Graph As the Simple Group $D_n (5)$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, no. 5, May 2014, pp. 598–608, http://umj.imath.kiev.ua/index.php/umj/article/view/2162.
Section
Research articles