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›› 2005, Vol. 22 ›› Issue (1): 11-18.DOI: 10.7523/j.issn.2095-6134.2005.1.002

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A New Infinite Family in π*S*

Liu Xiugui   

  1. Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China
  • Online:2005-01-15
  • Supported by:

    supported by the Youth Project of Tianyuan Foundation(10426028)

Abstract:

This paper proves the existence of a new family of nontrivial homotopy elements in the stable homotopy of spheres which is of degree 2(p- 1)(sp2+(s+1)p+(s-2))-6 and is represented by b0 h1 γs in the E (s+ 3), * 2 -term of the Adams spectral sequence,where p≥7 is an odd prime, 3≤s<p.

Key words: stable homotopy of spheres, May spectral sequence, Adams spectral sequence, Toda-Smith spectrum

CLC Number: