| 关于同伦元素 $\alpha_{1}\beta_{1}\beta_{2}\gamma_{s}$ |
| |
| 引用本文： | 钟立楠,刘秀贵.关于同伦元素 $\alpha_{1}\beta_{1}\beta_{2}\gamma_{s}$[J].数学年刊A辑(中文版),2013,34(4):487-498. |
| |
| 作者姓名： | 钟立楠 刘秀贵 |
| |
| 作者单位： | 延边大学理学院数学系, 吉林 延吉 133002; 南开大学数学科学学院, 天津 300071.;南开大学数学科学学院, 天津 300071. |
| |
| 基金项目： | 国家自然科学基金(No.11261062, No.11071125, No.11171161)和教育部留学回国人员科研启动基金 |
| |
| 摘 要： | 设 $p\geq 7$ 为任意奇素数. 证明了当 $3\leq s
|
| 关 键 词： | & Adams 谱序列 May 谱序列 球面稳定同伦群 |
On Homotopy Element $\alpha_{1}\beta_{1}\beta_{2}\gamma_{s}$ |
| |
| ZHONG Linan and LIU,Xiugui.On Homotopy Element $\alpha_{1}\beta_{1}\beta_{2}\gamma_{s}$[J].Chinese Annals of Mathematics,2013,34(4):487-498. |
| |
| Authors: | ZHONG Linan and LIU Xiugui |
| |
| Institution: | Department of Mathematics, College of Science, Yanbian University,
Yanji 133002, Jilin, China; School of Mathematical Sciences, Nankai University, Tianjin 300071, China.;School of Mathematical Sciences, Nankai University, Tianjin 300071, China. |
| |
| Abstract: | Suppose that $p\geq 7$ is an odd prime. The authors
prove that the element $\alpha_{1}\beta_{1}\beta_{2}\gamma_{s}$ is
non-trivial in the stable homotopy groups of spheres
$$
\pi_{2(p-1)(sp^{2}+(s+2)p+s)-7}(S),
$$
provided that $3\leq s
|
| |
| Keywords: | Adams spectral sequence May spectral sequence Stable homotopy groups of spheres |
|
| 点击此处可从《数学年刊A辑(中文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊A辑(中文版)》下载免费的PDF全文 |
