关于同伦元素α1β1β2γs

On Homotopy Element α_1β_1β_2γ_s

设p≥7为任意奇素数.证明了当3≤s<p时,元索α_1β_1β_2γ_s在球面稳定同伦群π_(2(p-1)(sp^2+(s+2)p+s)-7)(S)中是非平凡的.

Suppose that p ≥ 7 is an odd prime. The authors prove that the elemen α1β1β2γs is non-trivial in the stable homotopy groups of spheres π2（p-1）（sp^2＋（s＋2）p＋s）-7（S） provided that 3 ≤ s 〈 p.