A New Infinite Family in π*S*
Online published: 2005-01-15
Supported by
supported by the Youth Project of Tianyuan Foundation(10426028)
证明在Adams谱序列中，积b0 h1 γs∈Ext[s+3，sp2q+(s+1)pq+(s-2)q+(s-3)]A(Zp，Zp)收敛到球面稳定同伦群π S中的一个新的非零的稳定元素族，其中 3≤s<p，p≥ 7为奇素数。
关键词： 球面稳定同伦; May谱序列; Adams谱序列; Toda-Smith谱
刘秀贵 . 球面稳定同伦群π,S中的一个新非平凡元素族[J]. 中国科学院大学学报, 2005 , 22(1) : 11 -18 . DOI: 10.7523/j.issn.2095-6134.2005.1.002
This paper proves the existence of a new family of nontrivial homotopy elements in the stable homotopy of spheres which is of degree 2(p- 1)(sp2+(s+1)p+(s-2))-6 and is represented by b0 h1 γs in the E (s+ 3), * 2 -term of the Adams spectral sequence,where p≥7 is an odd prime, 3≤s<p.
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