The special orthogonal group is trireflectional. (Q1881516)
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scientific article; zbMATH DE number 2106417
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The special orthogonal group is trireflectional. |
scientific article; zbMATH DE number 2106417 |
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The special orthogonal group is trireflectional. (English)
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5 October 2004
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Let \(K\) be a field of even characteristic, and let \(V\) be a finite dimensional vector space over \(K\). The authors prove that every element of \(\text{SO}(V)\) can be written as product of \(3\) or fewer involutions in \(\text{SO}(V)\) provided \(\dim V>2\) and \(\text{SO}(V)\neq O^+(4,2)\).
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vector spaces
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orthogonal groups
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products of involutions
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