| 球面稳定同伦群π*S中的一个新非平凡元素族 |
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| 引用本文： | 刘秀贵.球面稳定同伦群π*S中的一个新非平凡元素族[J].中国科学院研究生院学报,2005,22(1):11-18. |
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| 作者姓名： | 刘秀贵 |
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| 作者单位： | 中国科学院数学研究所,北京,100080 |
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| 基金项目： | theYouthProjectofTianyuanFoundation( 10 42 60 2 8) |
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| 摘 要： | 证明在Adams谱序列中,积b0h1γs∈Exts+3,A
sp2 q+(s+1)pq+(s-2)q+(s-3)(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＜p,p≥7为奇素数.
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| 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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| Abstract.A New Infinite Family in π* S[J].Journal of the Graduate School of the Chinese Academy of Sciences,2005,22(1):11-18. |
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| Authors: | Abstract |
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| 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 Es+3,2 * - term of the Adams spectral sequence, where p ≥ 7 is an odd prime, 3 ≤ s < p. |
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| Keywords: | stable homotopy of spheres May spectral sequence Adams spectral sequence Toda-Smith spectrum |
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