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摘要
In the stable homotopy groups pi(q(pn+pm+1)-3)(S) of the sphere spectrum S localized at the prime p greater than three, J. Lin constructed an essential family xi(m,n) for n >= m + 2 > 5. In this paper, the authors show that the composite xi(m,n)beta(s) is an element of pi(q(pn+pm+sp+s)-5)(S) for 2 <= s < p is non-trivial, where q = 2(p - 1) and beta(s) is an element of pi(q(sp+s-1)-2)(S) is the known beta-family. We show our result by explicit combinatorial analysis of the (modified) May spectral sequence.
- 出版日期2010
- 单位南开大学
