球面稳定同伦群中第三周期γ类非平凡新元素
ON A NEW NONTRIVIAL ELEMENT INVOLVING THE THIRD PERIODICITY γ-FAMILY IN π*S

本文研究了球面稳定同伦群的问题.以Adams谱序列中的第二非平凡微分为几何输入，给出了球面稳定同伦群中h0gn（n > 3）的收敛性.同时，由Yoneda乘积的知识，发掘了球面稳定同伦群中的一个非平凡新元素.非平凡元素的范围将被我们的结果进一步扩大.
In this paper, we discuss stable homotopy groups of spheres. By making a nontrivial secondary differential as geometric input in the Adams spectral sequence, the convergence of h0gn (n > 3) in π*S is given. Furthermore, by the knowledge of Yoneda products, a new nontrivial element in π*S is detected. The scale of the nontrivial elements is expanded by our results