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| 摘要: |
| 本文研究了球面稳定同伦群的问题.以Adams谱序列中的第二非平凡微分为几何输入，给出了球面稳定同伦群中h0gn（n > 3）的收敛性.同时，由Yoneda乘积的知识，发掘了球面稳定同伦群中的一个非平凡新元素.非平凡元素的范围将被我们的结果进一步扩大. |
| 关键词: 球面稳定同伦群 Toda-Smith谱 Adams谱序列 May谱序列 Adams微分 |
| DOI： |
| 分类号:O189.23 |
| 基金项目:Supported by NSFC (11301386); NSFC (11001195) and Beiyang Elite Scholar Program of Tianjin University (0903061016); The Project Sponsored by the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry. |
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| ON A NEW NONTRIVIAL ELEMENT INVOLVING THE THIRD PERIODICITY γ-FAMILY IN π*S |
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WANG Yu-yu,WANG Jian-bo
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| Abstract: |
| In this paper, we discuss stable homotopy groups of spheres. By making a nontrivial secondary differential as geometric input in the Adams spectral sequence, the convergence of h0gn (n > 3) in π*S is given. Furthermore, by the knowledge of Yoneda products, a new nontrivial element in π*S is detected. The scale of the nontrivial elements is expanded by our results. |
| Key words: stable homotopy groups of spheres Toda-Smith spectrum Adams spectral sequence May spectral sequence Adams differential |
