球面稳定同伦中同伦元素β_2γ_s的非平凡性(英文)  

NON-TRIVIALITY OF SOME COMPOSITIONS β_2γ_s IN THE STABLE HOMOTOPY OF SPHERES

作　　者：刘秀贵[1] 赵永强[2] 

机构地区：[1]南开大学数学系,天津300071 [2]石家庄学院数学系,河北石家庄050801

出　　处：《数学杂志》2006年第4期393-398,共6页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China ( No .10501045) ,the Fund of the personnel Division of Nankai University , the Youth Project ofTianyuan Foundation of China( No .10426028) and the China Postdoctoral ScienceFoundation

摘　　要：本文研究了球面稳定同伦中同伦元素β2γs的非平凡性.利用May谱序列和Adams谱序列证明:同伦元素β2γs在一定条件下是阶为p的非平凡元素,其中p≥7是奇素数.The paper studies the nontriviality of homotopy elements β2γs in the stable homotopy of spheres. We make use of the May spectral sequence and the Adams spectral sequence to prove that under some conditions the homotopy element β2γs is nontrivial and of order p, where p≥7 is an odd prime number .

关 键 词：球面稳定同伦 Adams普序列 Toda—Smith谱 

分 类 号：O189.23[理学—数学]