| Moore谱的Adams谱序列中的一个非平凡微分 |
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| 引用本文： | 王立志,王向军.Moore谱的Adams谱序列中的一个非平凡微分[J].数学进展,2007,36(3):285-294. |
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| 作者姓名： | 王立志 王向军 |
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| 作者单位： | 1. 忻州师范学院数学系,忻州,山西,034000;南开大学数学院,天津,300071
2. 南开大学数学院,天津,300071 |
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| 摘 要： | 令p是一个大于5的奇素数．本文证明了在收敛到Moore谱的稳定同伦群的Adams谱序列中,在相差一个非零系数下,h_2的2p阶Adams微分是a_1b_0~p．
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| 关 键 词： | Adams谱序列 Adams-Novikov谱序列 环变换定理 |
| 文章编号： | 1000-0917（2007）03-0285-10 |
| 修稿时间： | 2005-09-082006-02-19 |
A Non-trivial Differential in the Adams Spectral Sequence for the Moore Spectrum |
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| WANG Lizhi,WANG Xiangjun.A Non-trivial Differential in the Adams Spectral Sequence for the Moore Spectrum[J].Advances in Mathematics,2007,36(3):285-294. |
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| Authors: | WANG Lizhi WANG Xiangjun |
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| Institution: | 1. Department of Mathematics, Xinzhou Normal College, Xinzhou, Shanxi, 034000, P. R. China; 2. School of Mathematical Science and LPMC, Nankai University, Tianjin, 300071, P. R. China |
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| Abstract: | Let p ≥ 5 be an prime. In this paper, we proved that in the Adams spectral sequence for the mod p Moore spectrum, the 2pth Adams differential of h2 is a1bp0 to a non-zero scalar. |
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| Keywords: | Adams spectral sequence Adams-Novikov spectral sequence change of rings theorem |
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