| 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,2013,34(4):487~498 |
| 关于同伦元素 $\alpha_{1}\beta_{1}\beta_{2}\gamma_{s}$ |
| On Homotopy Element $\alpha_{1}\beta_{1}\beta_{2}\gamma_{s}$ |
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| DOI： |
| 中文关键词: & Adams 谱序列, May 谱序列, 球面稳定同伦群 |
| 英文关键词:Adams spectral sequence, May spectral sequence, Stable homotopy groups of spheres |
| 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 |
| Author Name | Affiliation | E-mail | | ZHONG Linan | Department of Mathematics, College of Science, Yanbian University,
Yanji 133002, Jilin, China
School of Mathematical Sciences, Nankai University, Tianjin 300071, China. | zhonglinan2000@126.com | | LIU Xiugui | School of Mathematical Sciences, Nankai University, Tianjin 300071, China. | xgliu@nankai.edu.cn |
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| 中文摘要: |
| 设 $p\geq 7$ 为任意奇素数. 证明了当 $3\leq s |
| 英文摘要: |
| 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 |
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