【摘 要】
：
In the year 2002, Lin detected a nontrivial family in the stable homotopy groups of spheres πt-6S which is represented by hngo~γ3 ∈ Ext6,tA(Zp, Zp) in the Ad
【机 构】
：
School of Mathematical Sciences and LMPC
【基金项目】
：
国家自然科学基金;the Youth Project of Tianyuan Foundation of China;the China Postdoctoral Science Foundation;Fund of the Personnel Division of Nankai University
论文部分内容阅读
In the year 2002, Lin detected a nontrivial family in the stable homotopy groups of spheres πt-6S which is represented by hngo~γ3 ∈ Ext6,tA(Zp, Zp) in the Adams spectral sequence, where t = 2pn(p - 1) + 6(p2 +p+ 1)(p - 1) and p ≥ 7 is a prime number.This article generalizes the result and proves the existence of a new nontrivial family of filtration s + 6 in the stable homotopy groups of spheres πt1-s-6S which is represented by hngo(~,γ)s+3 ∈ Exts+6,t1A (Zp, Zp) in the Adams spectral sequence, where n ≥ 4, 0 ≤ s ＜ p - 4,t1 = 2pn(p - 1) + 2(p - 1)((s + 3)p2 + (s + 3)p + (s + 3)) + s.
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