2017
Том 69
№ 9

# 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.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 5, pp 666-677.

Citation Example: Babai A., Khosravi B. Groups with the Same Prime Graph as the Simple Group $D_n (5)$ // Ukr. Mat. Zh. - 2014. - 66, № 5. - pp. 598–608.

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