| 球面稳定同伦中的复合元素α1β1γs的非平凡性 |
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| 引用本文： | 刘秀贵.球面稳定同伦中的复合元素α1β1γs的非平凡性[J].数学进展,2006,35(6):733-738. |
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| 作者姓名： | 刘秀贵 |
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| 作者单位： | 南开大学数学科学学院,天津,300071 |
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| 基金项目： | This work is supported by the NSFC(No. 10171049)，the Youth Project of Tianyuan Foundation of China(No.10426028)，the China Postdoctoral Science Foundation(No. 2004036301)，the Fund of the Personnel Division of Nankai University(No. J02017) |
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| 摘 要： | 本文证明:当p≥7任意奇素数,3≤s
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| 关 键 词： | Adams谱序列 球面稳定同伦 Toda-Smith谱 |
| 文章编号： | 1000-0917（2006）06-0733-06 |
| 收稿时间： | 2003-12-22 |
| 修稿时间： | 2005-03-03 |
Non-triviality of Some Compositions α1β1γs in the Stable Homotopy of Spheres |
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| LIU Xiu-gui.Non-triviality of Some Compositions α1β1γs in the Stable Homotopy of Spheres[J].Advances in Mathematics,2006,35(6):733-738. |
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| Authors: | LIU Xiu-gui |
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| Institution: | School of Mathematical Sciences, Nankai Univ., Tianjin, 300071, P. R. China |
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| Abstract: | In this paper, it is proved that for p ≥ 7 an arbitrary odd prime number and 3 ≤ s ＜ p,the homotopy element α1β1γs is nontrivial and of order p in the stable homotopy groups of spheres π* S. |
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| Keywords: | Adams spectral sequence stable homotopy of spheres Toda-Smith spectrum |
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