A Nontrivial Product of Filtration s + 5 in the Stable Homotopy of Spheres
نویسندگان
چکیده
منابع مشابه
A Nontrivial Product of Filtration s+ 5 in the Stable Homotopy of Spheres
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 ...
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let $p$ be a prime with $pgeq 7$ and $q=2(p-1)$. in this paper we prove the existence of a nontrivial product of filtration $s+4$ in the stable homotopy groups of spheres. this nontrivial product is shown to be represented up to a nonzero scalar by the product element $widetilde{gamma}_{s}b_{n-1}g_{0}in {ext}_{mathcal{a}}^{s+4,(p^n+sp^2+sp+s)q+s-3}(mathbb{z}/p,mathbb{z}/p)$ in ...
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ژورنال
عنوان ژورنال: Acta Mathematica Sinica, English Series
سال: 2005
ISSN: 1439-8516,1439-7617
DOI: 10.1007/s10114-005-0548-y