| Adams谱序列E2项的一些注记 |
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| 引用本文： | 刘艳芳,王玉玉.Adams谱序列E2项的一些注记[J].山东大学学报(理学版),2018,53(8):43-48. |
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| 作者姓名： | 刘艳芳 王玉玉 |
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| 作者单位： | 天津师范大学数学科学学院, 天津 300387 |
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| 基金项目： | 国家自然科学基金资助项目(11301386) |
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| 摘 要： | 利用May谱序列的相关理论对Adams谱序列的E2项,即模p Steenrod代数A的上同调进行讨论。具体给出了(~overγ)s+3b1hn(n≥4, 0≤s4)在Adams谱序列中的非平凡性,并且说明其不是任何元素微分的像。这些结论对球面稳定同伦群新元素的发掘具有重要意义。
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| 关 键 词： | Adams微分 May微分 Ext群 May谱序列 非平凡性 |
| 收稿时间： | 2017-07-31 |
Some notes on E2-term of Adams spectral sequence |
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| LIU Yan-fang,WANG Yu-yu.Some notes on E2-term of Adams spectral sequence[J].Journal of Shandong University,2018,53(8):43-48. |
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| Authors: | LIU Yan-fang WANG Yu-yu |
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| Institution: | College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China |
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| Abstract: | The E2-term of the Adams spectral sequence, which is the cohomology of mod p Steenrod algebra A, will be discussed by using the May spectral sequence. In the Adams spectral sequence, the non-triviality of (~overγ)s+3b1hn is given, and it doesnt be hitted by any element. These results are important for the detection of new family of elements in the stable homotopy groups of spheres. |
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| Keywords: | Ext group non-triviality May spectral sequence May differential Adams differential |
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