Two New Families in the Stable Homotopy Groups of Sphere and Moore Spectrum  

作　　者：Jinkun LIN 

机构地区：[1]College of Mathematical Science and LPMC, Nankai University, Tianjin 300071, China

出　　处：《Chinese Annals of Mathematics,Series B》2006年第3期311-328,共18页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10171049)

摘　　要：This paper proves the existence of an order p element in the stable homotopy group of sphere spectrum of degree p^nq ＋p^mq ＋ q- 4 and a nontrivial element in the stable homotopy group of Moore spectum of degree p^nq ＋ p^mq ＋ q - 3 which are represented by h0（hmbn-1 - hnbm-1） and ie（hohnhm） in the E2-terms of the Adams spectral sequence respectively, where p ≥ 7 is a prime, n ≥ m ＋ 2 ≥ 4, q = 2（p - 1）.

关 键 词：Stable homotopy groups of spheres Adams spectral sequence Toda spectrum 

分 类 号：O152[理学—数学]