谱V(1)同伦群中的一个新元素

A new element in the homotopy group of spectrum V(1)

利用May谱序列及一些代数和数论方法,证明了在Adams谱序列中存在永久循环元h,且其收敛到同伦群πV(1)中的非零元,其中:V(1)为Toda-Smith谱,p≥7,q=2(p-1).

It is proved that his a permanent cycle in the Adams spectral sequence and converges to a nonzero element of the homotopy group πV(1),by using the May spectral sequence and combined with the algebraic and number-theoretical methods,where V(1) is Toda-Smith spectrum,p≥7,q = 2(p-1).