滤子s+1元素γ_sξ_n的存在性

The Existence of an Element γ_sξ_n with Filtration s+1

当p≥5,n≥0时,(i_1i_0)*(h_n)∈Ext1,p^nqA(H~*K,Zp)在Adams谱序列中是永久循环,并且收敛到π_(p^nq-1)K中的非零元.在此基础上,考虑了涉及第三希腊字母类乘积元素的收敛性,即当3≤s<p时,γ_sξ_n∈Exts+1,tA(Z_p,Z_p)在Adams谱序列中是永久循环,并且收敛到π_(t-s-1)S中的非零元γ_sξ_n,其中p≥7,n≥3,q=2(p-1),t=p^nq+sp^2q+(s-1)pq+(s-2)q+s-3.

Let p ≥5, n ≥0, then（ i1 i0）＊（ hn） ∈ Ext1,pnqA（ H＊K, Zp） is a permanent cycle in the Adams spectral sequence and it converges to a nontrivial element in πpnq-1 K. Based on this result, the convergence of the product involving the third Greek letter family element is considered, that is to say,γ hn∈ Exts＋1,tA（ Zp,Zp） is a permanent cycle in the Adams spectral sequence and converges to a nontrivial element γsξn in πt-s-1 S, where p ≥7,n ≥3,q = 2（ p-1）,t = pnq ＋ sp2q ＋（ s-1） pq ＋（ s-2） q ＋ s-3.