| 球面稳定同伦群中的$\xi_n$-相关元素的非平凡性 |
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| 引用本文： | 王玉玉,王健波.球面稳定同伦群中的$\xi_n$-相关元素的非平凡性[J].数学年刊A辑(中文版),2014,35(5):575-582. |
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| 作者姓名： | 王玉玉 王健波 |
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| 作者单位： | 天津师范大学数学科学学院,天津 300387.;天津大学数学系,天津 300072. |
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| 基金项目： | 国家自然科学基金(No.11301386, No.11026197, No.11071125, No.11226080, No.11001195),
天津市高校``优秀青年教师资助计划"(No. ZX110QN044),天津师范大学博士基金(No.52XB1011), 天津大学自主创新基金(No.60302036,\ No.60302055)和
北洋学者青年骨干教师计划项目(No.60301016) |
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| 摘 要： | 利用Adams谱序列与May谱序列, 发掘了球面稳定同伦群中一族$\xi_n$的相关元素.
这里$\xi_n\in\pi_* M$在Adams 谱序列中由$h_0h_n\in \ext_A^{2,p^n q+q}(H^* M,\zz_p)$所表示, 其中$p\geqslant 7,\ n>3,\ q=2(p-1).$
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| 关 键 词： | Adams 谱序列 May 谱序列 球面稳定同伦群 非平凡性 |
The Non-triviality of $\xi_n$-Related Elements in the Stable Homotopy Groups of Sphere |
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| WANG Yuyu and WANG Jianbo.The Non-triviality of $\xi_n$-Related Elements in the Stable Homotopy Groups of Sphere[J].Chinese Annals of Mathematics,2014,35(5):575-582. |
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| Authors: | WANG Yuyu and WANG Jianbo |
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| Institution: | College of Mathematical Science, Tianjin Normal University, Tianjin 300387,
China.;Department of Mathematics, Tianjin University, Tianjin 300072, China. |
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| Abstract: | Using the Adams spectral sequence and the May spectral sequence, the authors detect a $\xi_n$-related family in the stable
homotopy groups of sphere. Here $\xi_n\in\pi_*S$ are represented by $h_0h_n\in \ext
_A^{2,p^n q+q}(\mathbb{Z}_p, \mathbb{Z}_p)$ in the Adams spectral sequence, where $p\geqslant 7,\ n>3,\ q=2(p-1).$ |
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| Keywords: | Adams spectral sequence May spectral sequence Stable homotopy
groups of sphere Non-triviality |
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