Some secondary differentials on the fourth line of the Adams spectral sequence (Q2042278)

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scientific article; zbMATH DE number 7375766
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Some secondary differentials on the fourth line of the Adams spectral sequence
scientific article; zbMATH DE number 7375766

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    Some secondary differentials on the fourth line of the Adams spectral sequence (English)
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    28 July 2021
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    In the \(E_{2}\)-term of the classical Adams spectral sequence, in the first degree \(s=1,2,3\), the generators are known. For the generators of the fourth line \(E_{2}^{4,*}\), only partial results are known. In this paper, the authors detect some nontrivial secondary Adams differentials on the fourth line \(\mathrm{Ext}^{4,*}(\mathbb{Z}/p,\mathrm{Z}/p)\) of the classical Adams spectral sequence by applying cobar constructions and Massey products.
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    stable homotopy groups of spheres
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    Adams spectral sequence
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    May spectral sequence
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    matrix Massey product
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