| 球面稳定同伦中同伦元素β2γs的非平凡性 |
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| 引用本文： | 刘秀贵,赵永强. 球面稳定同伦中同伦元素β2γs的非平凡性[J]. 数学杂志, 2006, 26(4): 393-398 |
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| 作者姓名： | 刘秀贵 赵永强 |
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| 作者单位： | 1. 南开大学数学系,天津,300071
2. 石家庄学院数学系,河北石家庄,050801 |
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| 基金项目： | Supported by the National Natural Science Foundation of China ( No .10501045) ,the Fund of the personnel Division of Nankai University , the Youth Project ofTianyuan Foundation of China( No .10426028) and the China Postdoctoral ScienceFoundation |
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| 摘 要： | 本文研究了球面稳定同伦中同伦元素β2γs的非平凡性.利用May谱序列和Adams谱序列证明:同伦元素β2γs在一定条件下是阶为p的非平凡元素,其中p≥7是奇素数.
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| 关 键 词： | 球面稳定同伦 Adams普序列 Toda-Smith谱 |
| 文章编号： | 0255-7797（2006）04-0393-06 |
| 收稿时间： | 2003-05-29 |
| 修稿时间： | 2003-05-29 |
NON-TRIVIALITY OF SOME COMPOSITIONS β2γs IN THE STABLE HOMOTOPY OF SPHERES |
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| LIU Xiu-gui,ZHAO Yong-qiang. NON-TRIVIALITY OF SOME COMPOSITIONS β2γs IN THE STABLE HOMOTOPY OF SPHERES[J]. Journal of Mathematics, 2006, 26(4): 393-398 |
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| Authors: | LIU Xiu-gui ZHAO Yong-qiang |
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| Affiliation: | 1. Dept. of Math. , Nankai University, Tianjin 300071 ,China;2. Dept. of Math. , Shijiazhuang College, Shijiazhuang 050801, China |
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| Abstract: | The paper studies the nontriviality of homotopy elements β2γs in the stable homotopy of spheres. We make use of the May spectral sequence and the Adams spectral sequence to prove that under some conditions the homotopy element β2γs is nontrivial and of order p, where p≥7 is an odd prime number. |
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| Keywords: | stable homotopy of spheres Adams spectral sequence Toda-Smith spectrum |
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