球面稳定同伦群中的ξ_n-相关元素的非平凡性

The Non-triviality of ξ_n-Related Elements in the Stable Homotopy Groups of Sphere

利用Adams谱序列与May谱序列,发掘了球面稳定同伦群中一族ξ_n的相关元素.这里ξ_n∈π*M在Adams谱序列中由h_0h_n∈Ext_A^(2,p^nq+q)(H*M,Z_p)所表示,其中p≥7,n>3,q=2(p-1).

Using the Adams spectral sequence and the May spectral sequence, the authors detect a ξn-related family in the stable homotopy groups of sphere. Here ξn ∈ π＊S are represented by h0hn ∈ ExtA^2,p^nq＋q（Zp, Zp） in the Adams spectral sequence, where p ≥ 7, n 〉 3, q=2（p-1）.