Strongly real elements in finite simple orthogonal groups. (Q606012)
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scientific article; zbMATH DE number 5816233
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strongly real elements in finite simple orthogonal groups. |
scientific article; zbMATH DE number 5816233 |
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Strongly real elements in finite simple orthogonal groups. (English)
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15 November 2010
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The main results that the author obtains are the following two theorems: 1. Let \(V\) be a finite-dimensional vector space of dimension \(4m\) endowed with a nondegenerate bilinear form. Let \(S\subset O(V)\). Then \(S\) and \(S^{-1}\) are conjugate by some involution in \(SO(V)\). 2. The group \(G=\mathbf P\Omega^-_{4n}(q)\), with \(q\) odd, is strongly real.
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strongly real elements
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strongly real groups
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unipotent elements
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semisimple elements
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finite groups of Lie type
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