A nontrivial product in the stable homotopy groups of spheres

doi:10.1360/03ys0111

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	A nontrivial product in the stable homotopy groups of spheres
	Liu, XG
	2004-12-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	47 期号:6 页码:831-841
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).
关键词	stable homotopy groups of spheres Adams spectral sequence Toda-Smith spectra May spectral sequence
DOI	10.1360/03ys0111
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000227041700004
出版者	SCIENCE CHINA PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19754
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.