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 .
出处
《数学杂志》
CSCD
北大核心
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
