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| 球面稳定同伦群π,S中的一个新非平凡元素族 | |
| 作者姓名： | 刘秀贵 |
| 作者单位： | 中国科学院数学研究所 北京100080 |
| 摘 要： | 证明在Adams谱序列中，积b0 h1 γs∈Exts+3，sp2q+(s+1)pq+(s-2)q+(s-3)]A(Zp，Zp)收敛到球面稳定同伦群π S中的一个新的非零的稳定元素族，其中 3≤s |
| 关 键 词： | 球面稳定同伦 May谱序列 Adams谱序列 Toda-Smith谱 |
A New Infinite Family in π*S* |
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| Authors: | Liu Xiugui |
| Institution: | Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China |
| Abstract: | This paper proves the existence of a new family of nontrivial homotopy elements in the stable homotopy of spheres which is of degree 2(p- 1)(sp2+(s+1)p+(s-2))-6 and is represented by b0 h1 γs in the E (s+ 3), * 2 -term of the Adams spectral sequence,where p≥7 is an odd prime, 3≤s |
| Keywords: | stable homotopy of spheres May spectral sequence Adams spectral sequence Toda-Smith spectrum |
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