Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (1): 82-92.doi: 10.1016/S0252-9602(13)60128-9

• Articles • Previous Articles     Next Articles

ON AN INFINITE FAMILY IN π*S

 LIU Xiu-Gui   

  1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
  • Received:2012-09-27 Online:2014-01-20 Published:2014-01-20
  • Supported by:

    The author was partially supported by NSFC (11171161), NCET and SRF for ROCS, SEM.

Abstract:

In this paper, a new family of homotopy elements in the stable homotopy groups of spheres represented by h1hnhm˜
s in the Adams spectral sequence is detected, where n − 2 ≥ m ≥ 5 and 3 ≤ s < p.

Key words: stable homotopy groups of spheres, Adams spectral sequence, May spectral sequence, Adams-Novikov spectral

CLC Number: 

  • 55Q45
Trendmd