Structure theorem for the rotation group over \(\mathbb{Q}\) (Q1863581)
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scientific article; zbMATH DE number 1880075
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structure theorem for the rotation group over \(\mathbb{Q}\) |
scientific article; zbMATH DE number 1880075 |
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Structure theorem for the rotation group over \(\mathbb{Q}\) (English)
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11 March 2003
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The authors prove that the 3-dimensional rotation group \(\text{SO}_3(\mathbb{Q})\) over the rational numbers is not a simple group, and the set of square matrices in \(\text{SO}_3(\mathbb{Q})\) is a normal subgroup of \(\text{SO}_3(\mathbb{Q})\) with index \(\omega\).
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rotation groups
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quaternion covers
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type functions
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