Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (2): 274-282.

• Articles • Previous Articles     Next Articles

Non-Triviality of the Product b0k0δs+4 in the Adams Spectral Sequence

 ZHONG Li-Nan1, LIU Xiu-Gui2   

  1. 1.Department of Mathematics, College of Science, Yanbian University, Jilin |Yanji 133002;
    2. School of Mathematical Sciences, Nankai University, |Tianjin 300071
  • Received:2012-08-07 Revised:2013-12-13 Online:2014-04-25 Published:2014-04-25
  • Supported by:

    国家自然科学基金(11261062, 11071125, 11171161)、教育部新世纪优秀人才支持计划和教育部留学回国人员科研启动基金的资助.

Abstract:

In this paper, we make use of the modified May spectral sequence to prove the nontriviality of the product b0k0δs+4∈ExtAs+8, t(Zp, Zp), where p≥7 is a prime, 0≤s <p-4, q=2(p-1), and t =(s+4)p3q+(s+3)p2q+(s+5)pq+(s+2)q+s.

Key words: Adams spectral sequence, May spectral sequence, Stable homotopy groups of spheres

CLC Number: 

  • 55Q55
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