| Two New Families in the Stable Homotopy Groups of Sphere and Moore Spectrum |
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| 作者姓名： | Jinkun LIN |
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| 作者单位： | Jinkun LIN College of Mathematical Science and LPMC，Nankai University，Tianjin 300071，China. |
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| 摘 要： | This paper proves the existence of an order p element in the stable homotopy group of sphere spectrum of degree pnq pmq q - 4 and a nontrivial element in the stable homotopy group of Moore spectum of degree pnq pmq q - 3 which are represented by h0(hmbn-1-hnbm-1) and i*(h0hnhm) in the E2-terms of the Adams spectral sequence respectively, where p≥7 is a prime, n≥m 2≥4, q = 2(p - 1).
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| 关 键 词： | 稳定同伦群 Adams光谱序列 Toda光谱 Moore光谱 |
| 收稿时间： | 8 July 2004 |
Two New Families in the Stable Homotopy Groups of Sphere and Moore Spectrum |
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| Jinkun LIN.Two New Families in the Stable Homotopy Groups of Sphere and Moore Spectrum[J].Chinese Annals of Mathematics,Series B,2006,27(3):311-328. |
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| Authors: | Jinkun LIN |
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| Institution: | College of Mathematical Science and LPMC, Nankai University, Tianjin 300071, China |
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| Abstract: | Abstract This paper proves the existence of an order p element in the stable homotopy group of sphere spectrum of degree pnq + pmq + q-4 and a nontrivial element in the stable homotopy group of Moore spectum of degree pnq + pmq + q-3 which are represented by h0(hmbn-1 - hnbm-1) and i*(h0hnhm) in the E2-terms of the Adams spectral sequence respectively, where p ≥ 7 is a prime, n ≥ m + 2 ≥ 4; q = 2(p - 1).
* Project supported by the National Natural Science Foundation of China (No.10171049). |
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| Keywords: | Stable homotopy groups of spheres Adams spectral sequence Toda spectrum |
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