| May谱序列中的一个非平凡积 |
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| 引用本文： | 钟立楠,朴勇杰.May谱序列中的一个非平凡积[J].数学研究与评论,2011,31(2):359-365. |
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| 作者姓名： | 钟立楠 朴勇杰 |
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| 作者单位： | 延边大学数学系, 吉林 延吉 133002;延边大学数学系, 吉林 延吉 133002 |
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| 基金项目： | 国家自然科学基金(Grant No.10361005). |
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| 摘 要： | In this paper,we prove the non-triviality of the product h 0 k o δ s＋4 ∈ Ext s＋6,t（s） A （Z p ,Z p ） in the classical Adams spectral sequence,where p ≥ 11,0 ≤ s p-4,t（s） = （s ＋ 4）p 3 q ＋ （s ＋ 3）p 2 q ＋ （s ＋ 4）pq ＋ （s ＋ 3）q ＋ s with q = 2（p-1）.The elementary method of proof is by explicit combinatorial analysis of the （modified） May spectral sequence.
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| 关 键 词： | stable homotopy groups of spheres Adams spectral sequence May spectral sequence |
| 收稿时间： | 2009/2/18 0:00:00 |
| 修稿时间： | 2009/6/30 0:00:00 |
A Nontrivial Product in the May Spectral Sequence |
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| Li Nan ZHONG and Yong Jie PIAO.A Nontrivial Product in the May Spectral Sequence[J].Journal of Mathematical Research and Exposition,2011,31(2):359-365. |
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| Authors: | Li Nan ZHONG and Yong Jie PIAO |
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| Institution: | Department of Mathematics, Yanbian University, Jilin 133000, P. R. China |
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| Abstract: | In this paper, we prove the non-triviality of the product $h_{0}k_{o}\tilde{\delta}_{s+4}\in \hbox{Ext}^{s+6,t(s)}_{A}(Z_{p},Z_{p})$ in the classical Adams spectral sequence, where $p\geq 11,0\leq s
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| Keywords: | stable homotopy groups of spheres Adams spectral sequence May spectral sequence |
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