| A NON-TRIVIAL PRODUCT OF FILTRATION s＋6 IN THE STABLE HOMOTOPY GROUPS OF SPHERES |
| |
| 引用本文： | 赵浩,刘秀贵,金应龙.A NON-TRIVIAL PRODUCT OF FILTRATION s＋6 IN THE STABLE HOMOTOPY GROUPS OF SPHERES[J].数学物理学报(B辑英文版),2009,29(2):276-284. |
| |
| 作者姓名： | 赵浩 刘秀贵 金应龙 |
| |
| 作者单位： | Zhao Hao(School of Mathematical Sciences, Nankai University, Tianjin 300071, China);Liu Xiugui(School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China);Jin Yinglong(Department of Mathematics, Tianjin University, Tianjin 300071, China)
|
| |
| 基金项目： | 国家自然科学基金，the NCET and the Fund of the Personnel Division of Nankai University |
| |
| 摘 要： | By a method improving that of 1], the authors prove the existence of a non-trivial product of filtration, s ＋ 6, in the stable homotopy groups of sphere, πt-6S, which is represented up to non-zero scalar by β^-s＋2ho（hmbn-1 -hnbm-1） ∈ ExtA^s＋6,t＋s（Zp, Zp） in the Adams spectral sequence, where p ≥ 7, n ≥ m ＋ 2 ≥ 5, q = 2（p- 1）, 0 ≤ s 〈 p - 2, t= （s ＋ 2 ＋ （s ＋ 2）p ＋ p^m ＋ p^n）q. The advantage of this method is to extend the range of s without much complicated argument as in 1].
|
| 关 键 词： | 稳定同伦群 过滤 产品 Adams谱序列 规划 标量 非零 芘 |
A NON-TRIVIAL PRODUCT OF FILTRATION s+6 IN THE STABLE HOMOTOPY GROUPS OF SPHERES |
| |
| Zhao Hao,Liu Xiugui,Jin Yinglong.A NON-TRIVIAL PRODUCT OF FILTRATION s+6 IN THE STABLE HOMOTOPY GROUPS OF SPHERES[J].Acta Mathematica Scientia,2009,29(2):276-284. |
| |
| Authors: | Zhao Hao Liu Xiugui Jin Yinglong |
| |
| Institution: | [1]School of Mathematical Sciences, Nankai University, Tianjin 300071, China [2]School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China [3]Department of Mathematics, Tianjin University, Tianjin 300071, China |
| |
| Abstract: | Stable homotopy groups of spheres, Adams spectral sequence, May spectral sequence |
| |
| Keywords: | Stable homotopy groups of spheres Adams spectral sequence May spectral sequence |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
