Two Nontrivial Differentials in the Adams Spectral Sequence
Two Nontrivial Differentials in the Adams Spectral Sequence
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发表时间：
2008
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通讯作者：
Wang Xiangjun
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作者：
Wang Xiangjun
设p≥5为奇素数，本文研究Adams谱序列中的二阶微分d_2：Ext_A~(*,*)(Z_p,Z_p)→Ext_A~(*+2,*+1)(Z_p,Z_p)，得到两个非平凡微分d_2(g_i)=a_0l_i和d_2(k_i)=a_0l′_i，其中g_i∈Ext_A~(2(p~(i+2)+2p~i)q)(Z_p,Z_p),k_i∈Ext_A~(2(2p~(i+1)+p~i)q)(Z_p,Z_p),a_0∈Ext_A~(1,1)(Z_p,Z_p) l_i∈Ext_A~(3(p~(i+1)+2p~i)q)(Z_p,Z_p),l′_i∈Ext_A~(3(2p~(i+1)+p~i)q)(Z_p,Z_p),q=2(p-1),i0。
Let p≥5 be an odd prime,this paper studies the secondary differential d_2: Ext_A~(*,*)(Z_p,Z_p)→Ext_A~(*+2,*+1)(Z_p,Z_p) in the Adams spectral sequence to get two nontrivial differentials which are d_2(g_i)=a_0l_i and d_2(k_i)=a_0l′_i,where g_i∈Ext_A~(2(p~(i+2)+2p~i)q)(Z_p,Z_p),k_i∈Ext_A~(2(2p~(i+1)+p~i)q)(Z_p,Z_p),a_0∈Ext_A~(1,1)(Z_p,Z_p) l_i∈Ext_A~(3(p~(i+1)+2p~i)q)(Z_p,Z_p),l′_i∈Ext_A~(3(2p~(i+1)+p~i)q)(Z_p,Z_p),q=2(p-1),i0.