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《Journal of Jilin University(Science Edition)》 2006-01
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A New Family Elements in the Stable Homotopy Group G_0(B_1)~4■_s

JIN Ying-long~1,WANG Jian-bo~2(1.College of Mathematics,Nankai University,Tianjin 300071,China;2.Department of Mathematics,Inner Mongolia University,Huhehaote 010021,China)  
According to the fact that E~(s,t,*)_1 of May spectral sequence is convergee to E~(s,t)_A(Z_p,Z_p) and E~(s,t)_2 of Adams spectral sequence is converged to stable homotopy groups of sphere π_(t-s)(S)_p combined with the exact sequence of Ext group induced from the confibration of spectrum.A nonzero element g_0(b_1)~4 of stable homotopy groups of V(2) is found,and it is a permanent cycle in Adams spectral sequence.With the help of(Yoneda)-products,a nonzero element g_0(b_1)~4_s of stable homotopy groups of sphere is obtained.
【Fund】: 国家自然科学基金(批准号:10171049)
【CateGory Index】: O189.22
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