Detection of a nontrivial product in the stable homotopy groups of spheres

被引：13

作者：

Zhong, Linan ^{[1
,2
]}

Wang, Yuyu ^{[3
]}

机构：

[1] Yanbian Univ, Dept Math, Yanji 133000, Peoples R China

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

[3] Tianjin Normal Univ, Coll Math Sci, Tianjin 300387, Peoples R China

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2013年 / 13卷 / 05期

基金：

中国国家自然科学基金;

关键词：

SPECTRAL SEQUENCE; ELEMENTS;

D O I：

10.2140/agt.2013.13.3009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that there exists a new family of nontrivial homotopy elements in the stable homotopy groups of spheres with dimension q(p(n) + sp + 2)-4. These nontrivial homotopy elements are represented by beta(s)h(0)h(n) in the E (s)(2) +(2t) term of the Adams spectral sequence, where p >= 5, n > 4, p C 1 < s < 2 p 1, t = q(p(n) + sp + 2) + s-2, q = 2(p-1).

引用

页码：3009 / 3029

页数：21

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