中文摘要：

本文研究了球面稳定同伦群中元素的非平凡性.利用May谱序列,证明了在Adams谱序列E_2项中存在乘积元素收敛到球面稳定同伦群的一族阶为p的非零元,此非零元具有更高维数的滤子.

英文摘要：

In this paper,we study the non-triviality of the elements in the stable homotopy groups of spheres.Using the May spectral sequence,the authors show that there exists a new product in the E_2-term of the Adams spectral sequence,which converges to a family of homotopy elements with order p and higher filtration in the stable homotopy groups of spheres.