Non-triviality of some products of \(\beta\)-elements in the stable homotopy of spheres (Q1101737)
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scientific article; zbMATH DE number 4046693
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-triviality of some products of \(\beta\)-elements in the stable homotopy of spheres |
scientific article; zbMATH DE number 4046693 |
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Non-triviality of some products of \(\beta\)-elements in the stable homotopy of spheres (English)
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1987
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Let p be a prime \(\geq 5\). In the stable homotopy groups \(\pi_*S\) of spheres, H. Toda and L. Smith constructed a family \(\{\beta_ s;s\geq 1\}\). The author shows that \(\beta_{rp+1}\beta_{tp| p}\neq 0\) in \(\pi_*S\) if \(p\nmid tu(u+1)\) for \(u=(r+t)| p^ n.\)
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products of beta-elements in the stable homotopy groups of spheres
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beta family of elements in the stable homotopy groups of spheres
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