| A NEW FAMILY OF FILTRATION S ＋ 5 IN THE STABLE HOMOTOPY GROUPS OF SPHERES |
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| 引用本文： | 王玉玉.A NEW FAMILY OF FILTRATION S ＋ 5 IN THE STABLE HOMOTOPY GROUPS OF SPHERES[J].数学物理学报(B辑英文版),2008,28(2):321-332. |
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| 作者姓名： | 王玉玉 |
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| 基金项目： | Supported by NFSC (10171049) |
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| 摘 要： | In this article, by the algebraic method, the author proves the existence of a new nontrivial family of filtration s ＋ 5 in the stable homotopy groups of spheres πrS,which is represented by 0 ≠γ^-s＋3hnhm∈Ext^s＋5,A ^t（Zp,Zp）in the Adams spectral sequence,where r=q（p^m＋p^n＋（s＋3）p^2＋（s＋2）p＋（s＋1））-5,t=p^mq＋p^nq＋（s＋3）p^2q＋（s＋2）pq＋（s＋1）q＋s,p≥7,m≥n＋2〉5,0≤s〈p-3,q=2（p-1）.
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| 关 键 词： | 光谱序列 球体 同伦方程式 代数 |
| 收稿时间： | 19 December 2005 |
A New Family of Filtration S+5 in The Stable Homotopy Groups of Spheres |
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| Wang Yuyu,.A New Family of Filtration S+5 in The Stable Homotopy Groups of Spheres[J].Acta Mathematica Scientia,2008,28(2):321-332. |
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| Authors: | Wang Yuyu |
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| Institution: | School of Mathematical Sciences, Tianjin Normal University, Tianjin 300387, China |
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| Abstract: | In this article, by the algebraic method, the author proves the existence of a new nontrivial family of filtration s 5 in the stable homotopy groups of spheres πrS, which is represented by 0≠γs 3hmhm ∈ Exts 5,A t(zp, Zp) in the Adams spectral sequence, where r=q(pm pn (s 3)p2 (s 2)p (s 1)) - 5, t = pmq pnq (s 3)p2q (s 2)pq (s 1)q s,p＞7, mn 25,0
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| Keywords: | Stable homotopy of spheres Adams spectral sequence cofiberation May spectral sequence |
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