Products of Greek letter elements dug up from the third Morava stabilizer algebra
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چکیده
منابع مشابه
Products of Greek Letter Elements Dug up from the Third Morava Stabilizer Algebra
In [3], Oka and the second author considered the cohomology of the second Morava stabilizer algebra to study nontriviality of the products of beta elements of the stable homotopy groups of spheres. In this paper, we use the cohomology of the third Morava stabilizer algebra to find nontrivial products of Greek letters of the stable homotopy groups of spheres: α1γt, β2γt, 〈α1, α1, β p/p〉γtβ1 and ...
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There are p-local spectra T (m) with BP∗(T (m)) = BP∗[t1, . . . , tm]. Its Adams-Novikov E2-term is isomorphic to ExtΓ(m+1)(BP∗, BP∗), where Γ(m + 1) = BP∗(BP )/ (t1, . . . , tm) = BP∗[tm+1, tm+2, . . . ]. In this paper we determine the groups ExtΓ(m+1)(BP∗, v −1 n BP∗/In) for all m, n > 0. Its rank ranges from 2n + 1 to n2 depending on the value of m.
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2012
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2012.12.951