A Nontrivial Product of Filtration s+ 5 in the Stable Homotopy of Spheres
نویسنده
چکیده
In this paper, some groups Ext A (Zp, Zp) with specialized s and t are first computed by the May spectral sequence. Then we make use of the Adams spectral sequence to prove the existence of a new nontrivial family of filtration s+5 in the stable homotopy groups of spheres πpnq+(s+3)pq+(s+1)q−5S which is represented (up to a nonzero scalar) by β̃s+2b0hn ∈ Ext q+(s+3)pq+(s+1)q+s A (Zp, Zp) in the Adams spectral sequence, where p ≥ 5 is a prime number, n ≥ 3, 0 ≤ s < p− 3, q = 2(p− 1).
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