A Nontrivial Hornotopy Element of Order p(2) Detected by the Classical Adams Spectral Sequence

作者：Zhao, Hao; Zhong, Linan^*

来源：Chinese Annals of Mathematics Series B, 2018, 39(1): 1-8.

DOI：10.1007/s11401-018-1046-8

• Stable homotopy groups of sphere
• Adams spectral sequence
• May spectral sequence
• Massey product

Let p be an odd prime. The authors detect a nontrivial element (a(p)) over tilde, of order p(2) in the stable hornotopy groups of spheres by the classical Adams spectral sequence. It is represented by a(0)(p-2) h(1) is an element of ExtA(2)(p-1,pq+p-2) (Z/p, Z/p) in the E-2-term of the ASS and meanwhile p . (a(p)) over tilde, is the first periodic element alpha(p).

• 出版日期2018-1
• 单位延边大学