中文摘要：

利用May谱序列的E1^s,t,＊项收敛于群EA^s,t（Zp，Zp）以及Adams谱序列的E2^s,t项收敛于球面稳定群πt-s（S）p的方法，并结合谱的上纤维序列导出Ext群的正合序列，发现了谱V（2）稳定同伦群中的一个非零元素g0（b1）^4，并且发现它在Adams谱序列中是一个永久循环．运用Yoneda乘积，得到了球面稳定同伦群中的一个非零元素g0（b1）^4γs^＊．

英文摘要：

According to the fact that E1^s,t,＊ of May spectral sequence is converged to EA^s,t（Zp,Zp） and E,^s,t of Adams spectral sequence is converged to stable homotopy groups of sphere πt-s （S）p combined with the exact sequence of Ext group induced from the confibration of spectrum. A nonzero element go （ b1 ）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 go （b1）^4-γ, of stable homotopy groups of sphere is obtained.