Volume 7, Issue 1 (5-2012)
IJMSI 2012, 7(1): 91-106 |
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Foroudi Ghasemabadi M, Ahanjideh N. Characterizations of the simple group $D_{n}(3)$ by prime graph and spectrum. IJMSI. 2012; 7 (1) :91-106
URL: http://ijmsi.ir/article-1-306-en.html
URL: http://ijmsi.ir/article-1-306-en.html
Abstract:
We prove that $D_n(3)$, where $ngeq6$ is even, is uniquely determined by its prime graph. Also, if $G$ is a finite group with the same prime graph as $D_4(3)$, then $Gcong D_4(3), B_3(3), C_3(3)$ or $G/O_2(G)cong {rm Aut}({}^2B_2(8))$.
Keywords: Characterization, prime graph, the classification theorem of finite simple group, spectrum.
