On \(Z_ q\)-equivariant immersions for \(q=2^ r\) (Q1077764)
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scientific article; zbMATH DE number 3958255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(Z_ q\)-equivariant immersions for \(q=2^ r\) |
scientific article; zbMATH DE number 3958255 |
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On \(Z_ q\)-equivariant immersions for \(q=2^ r\) (English)
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1985
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Let T be the standard complex 1-dimensional representation of \({\mathbb{Z}}/q\). For which \(m>2n\) does there exists a \({\mathbb{Z}}/q\)-equivariant immersion of the sphere \(S((n+1)T)\) into \({\mathbb{R}}^ m\oplus k\cdot T ?\) The author gives some nonexistence results for \(q=2^ r\) using \(\gamma\)- operations on lens spaces and S-duality methods for stunted lens spaces.
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\({\mathbb{Z}}/q\)-equivariant immersion of the sphere
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\(\gamma \) -operations on lens spaces
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S-duality
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stunted lens spaces
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