A note on the equivariant Whitehead groups of dihedral groups (Q916160)
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scientific article; zbMATH DE number 4153498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the equivariant Whitehead groups of dihedral groups |
scientific article; zbMATH DE number 4153498 |
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A note on the equivariant Whitehead groups of dihedral groups (English)
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1990
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If G is a finite group, let \(Wh_ G(*)\) be the equivariant Whitehead group of the point and \(Wh_{rep}(G)\) be the subgroup generated by the reduced equivariant Whitehead torsions coming from G-homotopy equivalences between spheres of G-representations. Let \(C_ n\) resp. \(D_ n\) be the cyclic resp. dihedral group of order n resp. 2n. The main theorem of the article says that restriction induces an isomorphism from \(Wh_{rep}(D_ n)\) to \(Wh_{rep}(C_ n)\).
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cyclic group
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maps between linear G-spheres
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finite group
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equivariant Whitehead group
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subgroup generated by the reduced equivariant Whitehead torsions
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G-homotopy equivalences between spheres of G-representations
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dihedral group
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