ON TWO NON-TRIVIAL PRODUCTS IN THE STABLE HOMOTOPY GROUPS OF SPHERES

被引：0

作者：

Liu, Xiugu ^{[1
,2
]}

Zhao, Hao ^{[3
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 30007, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 30007, Peoples R China

[3] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2007年 / 13卷 / 02期

基金：

中国国家自然科学基金;

关键词：

stable homotopy groups of spheres; Adams spectral sequence; May spectral sequence; Toda-Smith spectrum;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider the convergence of some products in the Adams spectral sequence and show that two products h(0)k(0)h(m) is an element of E(2)(4,2(p1-1)(p1m+2p1+2)), k(0)h(0)h(n)gamma(s) is an element of E(2)(s+4,2(p2-1)(p2n+sp22+(s+1)p2+s)+s-3) permanent cycles in the Adams spectral sequence and converge to two new nontrivial homotopy elements in the stable homotopy groups of spheres pi*S respectively, where p(1) >= 5 is a Prime, p(2) >= 7 is a prime, m >= 3, n >= 4 and 3 <= s < p(2) - 2.

引用

页码：367 / 380

页数：14

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