A nontrivial product in the stable homotopy groups of spheres
文献类型：期刊论文
| 作者 | Liu, XG |
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2004-12-01 |
| 卷号 | 47期号:6页码:831-841 |
| 关键词 | stable homotopy groups of spheres Adams spectral sequence Toda-Smith spectra May spectral sequence |
| ISSN号 | 1006-9283 |
| DOI | 10.1360/03ys0111 |
| 英文摘要 | Let A be the mod p Steenrod algebra for p an arbitrary odd prime. In 1962, Liulevicius described h(i) and b(k) in Ext(A)(*,*) (Z(p), Z(p)) having bigrading (1, 2p(i)(p - 1)) and (2, 2p(k+l) x (p - 1)), respectively In this paper we prove that for p greater than or equal to 7, n greater than or equal to 4 and 3 less than or equal to s < p - 1, h(0)b(n-1)(γ) over tilde $s epsilon Ext(A)(s+3,pnq)+(sp2) (q+( s -1)pq+(s-1)q+s -3) (Z(p), Z(p)) survives to E-infinity in the Adams A spectral sequence, where q = 2(p - 1). |
| 语种 | 英语 |
| WOS记录号 | WOS:000227041700004 |
| 出版者 | SCIENCE CHINA PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19753]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, XG |
| 作者单位 | Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, XG. A nontrivial product in the stable homotopy groups of spheres[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2004,47(6):831-841. |
| APA | Liu, XG.(2004).A nontrivial product in the stable homotopy groups of spheres.SCIENCE IN CHINA SERIES A-MATHEMATICS,47(6),831-841. |
| MLA | Liu, XG."A nontrivial product in the stable homotopy groups of spheres".SCIENCE IN CHINA SERIES A-MATHEMATICS 47.6(2004):831-841. |
入库方式： OAI收割
来源：数学与系统科学研究院
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