摘要

By a method improving that of [1], the authors prove the existence of a nontrivial product of filtration, s 6, in the stable homotopy groups of sphere, pi(t-6)S, which is represented up to non-zero scalar by (beta) over tilde (s 2)h(0)(h(m)b(n-1) - h(n)b(m-1)) is an element of Ext(A)(s 6,t s)(Z(p), Z(p)) 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 p(m) p(n))q. The advantage of this method is to extend the range of s without much complicated argument as in [1].

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