数学物理学报(英文版) ›› 2009, Vol. 29 ›› Issue (2): 276-284.doi: 10.1016/S0252-9602(09)60028-X
赵浩, 刘秀贵, 金应龙
DIAO Gao, LIU Xiu-Gui, JIN Ying-Long
摘要:
By a method improving that of [1], the authors prove the existence of a nontrivial troduct of filtration, s + 6, in the stable homotopy groups of sphere, Πt−6S, which is represented up to non-zero scalar by βs+2h0(hmbn−1 −hnbm−1) ∈ Exts+6,t+sA (Zp, Zp) in the Adams spectral sequence, where p ≥ 7, n ≥ m + 2 ≥ 5, q = 2(p − 1), 0 ≤ s < p − 2, t= (s + 2+ (s + 2)p + pm + pn)q. The advantage of this method is to extend the range of s without much complicated argument as in [1].
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