球面稳定同伦中的复合元素α_1β_1γ_s的非平凡性(英文)  

Non-triviality of Some Compositions α_1β_1γ_s in the Stable Homotopy of Spheres

作　　者：刘秀贵[1] 

机构地区：[1]南开大学数学科学学院,天津300071

出　　处：《数学进展》2006年第6期733-738,共6页Advances in Mathematics（China）

基　　金：This work is supported by the NSFC(No. 10171049);the Youth Project of Tianyuan Foundation of China(No.10426028);the China Postdoctoral Science Foundation(No. 2004036301);the Fund of the Personnel Division of Nankai University(No. J02017)

摘　　要：本文证明:当p≥7任意奇素数,3≤s<p时,同伦元素α1β1γs是球面稳定同伦群π*S中的一个阶为p的非平凡元素．In this paper, it is proved that for p ≥7 an arbitrary odd prime number and 3 ≤s 〈 p, the homotopy element α1β1γs is nontrivial and of order p in the stable homotopy groups of spheres π＊S.

关 键 词：ADAMS谱序列 球面稳定同伦 TODA-SMITH谱 

分 类 号：O189.23[理学—数学]