\(SK_ 1(\mathbb{Z}[G])\) of finite solvable groups which act linearly and freely on spheres (Q1174625)
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scientific article; zbMATH DE number 9163
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(SK_ 1(\mathbb{Z}[G])\) of finite solvable groups which act linearly and freely on spheres |
scientific article; zbMATH DE number 9163 |
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\(SK_ 1(\mathbb{Z}[G])\) of finite solvable groups which act linearly and freely on spheres (English)
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25 June 1992
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The author determines \(SK_ 1(\mathbb{Z}[G])\) for a finite solvable group \(G\) acting freely and linearly on some sphere \(S^{2n-1}\). The results are too complicated to be summarised in a short review, and all are implicit in the encyclopaedic work of R. Oliver on this subject. However, the author achieves some short cuts by a careful examination of the structure of the groups concerned.
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\(K_ 1\) of group rings
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free group action on a sphere
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Whitehead torsion
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0.8857666
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0.88049775
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0.87452745
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0.8705076
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0.86977273
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0.86889154
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0.86874217
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