Recognition by prime graph of ²D_2m+1(3)

چکیده مقاله

As shown in [1] the simple group ²D_2m+1(3) is recognizable by spectrum. The main result of this paper generalizes the above, stating that ²D_2m+1(3) is recognizable by prime graph. In other words, we show that if G is a finite group satisfying Γ (G) = Γ (²D_2m+1(3)) then G ≅²D_2m+1(3). © 2011 Pleiades Publishing, Ltd.