Title of article :
2-RECOGNIZABILITY OF THE SIMPLE GROUPS Bn(3) and Cn(3) BY PRIME GRAPH
Author/Authors :
FOROUDI GHASEMABADI, M Tarbiat Modares University , IRANMANESH, A Tarbiat Modares University , AHANJIDEH, N University of Shahre-kord
Abstract :
ABSTRACT. Let G be a finite group and let GK(G) be the prime graph of G. We assume that n >5, is an odd number. In the paper, we show that the simple groups Bn (3) and Cn (3) are 2-recognizable by their prime graphs. As the result, the characterizability of the groups Bn (3) and Cn(3) by their spectra and by the set of orders of maximal abelian subgroups are obtained. Also, we conclude that the AAM's conjecture is true for these groups.
Keywords :
spectrum , recognition , classificcation of Finnite simple groups
Journal title :
Astroparticle Physics
