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Two New Elements of the Stable Homotopy Group of Spheres h>sub>0(b1)3γ3 and (b1,/sub>)3 g0γ,sub>3

XIAO Jian-ming1,2, HUANG Yu-hui2   

  1. 1. Department of Mathematics, Nankai University, Tianjin 300071, China; 2. Department of Foundation, Jilin Commercial College, Changchun 130031, China
  • Received:2002-11-27 Revised:1900-01-01 Online:2003-07-26 Published:2003-07-26
  • Contact: XIAO Jian-ming

Abstract: This paper proves that p≥11, 0≠h0(b1)3∈Ext7,3p2q+qA(H*V(2),Zp) and 0≠(b1)3g0∈Ext8,3p2q+p q+2qA(H*V(2),Zp) in Adams spectral seqenc es converge to the nonzero elements of π*V(2) of p order respectivel y while 0≠h0(b1)3γ3∈Ext10,6p 2q+2pq+2qA(Zp,Zp) and 0≠(b1)3g0γ3∈Ext11,6p2q+3p q+3qA(Zp,Zp) in Adams spectral sequences converge to the nonzero elements of π*S of p order respectively.

Key words: May spectral sequence, Adams spectral sequence, Extgroup of V(2), stable homotopy group of sphere

CLC Number: 

  • O189.23