Adams谱序列上的一个非平凡积b0g0αs+4^-(4)

A Nontrivial Product b0g0as+4^-(4) in the Adams Spectral Sequence

当p≥11,0≤s<p-4时,以May谱序列为工具,证明了在Adams谱序列的E2项中,乘积b0g0αs+4^(4)∈ExtA^s+8,t(s)(Zp,Zp)是非平凡的,其中t(s)=q[(s+4)p^3+(s+3)p^2+(s+4)p+(s+3)]+s.

In this paper,the May spectral sequence is used to prove the non-triviality of product b0g0αs+4^(4)∈ExtA^s+8,t(s)(Zp,Zp),in the E—term of the Adams spec t ral sequence,where p≥11,0≤s<p-4,t(s)=q[(s+4)p^3+(s+3)p^2+(s+4)p+(s+3)]+s.