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A NEW FAMILY OF FILTRATION s+6 IN THE STABLE HOMOTOPY GROUPS OF SPHERES
引用本文:刘秀贵.A NEW FAMILY OF FILTRATION s+6 IN THE STABLE HOMOTOPY GROUPS OF SPHERES[J].数学物理学报(B辑英文版),2006,26(2):193-201.
作者姓名:刘秀贵
作者单位:School of
基金项目:Supported by the National Natural Science Foundation of China (1051045) the Youth Project of Tianyuan Foundation of China (10426028) the China Postdoctoral,Science Foundation and Fund of the Personnel Division of Nankai University
摘    要:In the year 2002, Lin detected a nontrivial family in the stable homotopy groups of spheres πt-6S which is represented by hngor3 ∈ ExtA6,t(Zp,Zp) in the Adams spectral sequence, where t=2pn(p-1) 6(p2 p 1)(p-1) and p≥7 is a prime number.This article generalizes the result and proves the existence of a new nontrivial family of filtration s 6 in the stable homotopy groups of spheres πt1-s-6S which is represented by hngors 3 6 ExtAs 6,t1(Zp, Zp) in the Adams spectral sequence, where n≥4, 0≤s
关 键 词:球面稳定同伦群  Adams光谱序列  Toda-Smith光谱  May光谱序列
收稿时间:2002-10-21

A NEW FAMILY OF FILTRATION s+6 IN THE STABLE HOMOTOPY GROUPS OF SPHERES
Liu Xiugui.A NEW FAMILY OF FILTRATION s+6 IN THE STABLE HOMOTOPY GROUPS OF SPHERES[J].Acta Mathematica Scientia,2006,26(2):193-201.
Authors:Liu Xiugui
Abstract:
Keywords:Stable homotopy groups of spheres  Adams spectral sequence  Toda-Smith spectrum  May spectral sequence
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