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

### 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

*Ukrains’kyi Matematychnyi Zhurnal*, Vol. 66, no. 5, May 2014, pp. 598–608, https://umj.imath.kiev.ua/index.php/umj/article/view/2162.

Issue

Section

Research articles