球面稳定同伦群中的一族新元素

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E2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。%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 E2-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.