球面稳定同伦群的γ_tl_1g_0新元素族

The New Family Elements γ_tl_1g_0 in the Stable Homotopy Group of Spheres

首先给出了May谱序列E_1^(s,t,u)项的几个结果,然后利用这些结果和关于Ext_P^(s,t)(Z_p,Z_p)的一个估计(P为由mod p Steenrod代数A的所有循环缩减幂P^i(i≥0)生成的子代数)得出了乘积(?)t (?)g0∈Ext_A^(*,*)(Z_p,Z_p)(3≤t<p-2)在Adams谱序列的收敛性。其中g0∈Ext_A^(2,pq+2q)(Z_p,Z_p),(?)∈Ext_A^(3,p^2q+2pq)(Z_p,Z_p).

This paper first gives some results of E1^s,t,u which is the E2-term of the May spectral sequence, then uses these results and the estimation about ExtP^s,t（Zp,Zp）, which is the subalgebra of rood P steenrod algebra A which is generated by all P^i （i ≥ 0）, and finds the convergence of the products γtl1g0∈ExtA^（＊,＊）（Zp,Zp）（3≤t〈p-2） in Adams spectral sequence, where g0∈ExtA^2,pq＋2q（Zp,Zp）, and l1∈ExtA^3,p^2q＋2pq（Zp,Zp）.