球面稳定同伦中同伦元素β2γs的非平凡性

摘要

The paper studies the nontriviality of homotopy elements β2γs in the stable homotopy of spheres. We make use of the May spectral sequence and the Adams spectral sequence to prove that under some conditions the homotopy element β2γs is nontrivial and of order p, where p≥7 is an odd prime number.%本文研究了球面稳定同伦中同伦元素β2γs的非平凡性.利用May谱序列和Adams谱序列证明:同伦元素β2γs在一定条件下是阶为p的非平凡元素,其中p≥7是奇素数.