Fixed point groups of involutions of type $\mathrm{O}(\mathrm{q},k)$ over a field of characteristic two
| Autor: | Hunnell, Mark, Hutchens, John |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | For $\mathrm{O}(\mathrm{q},k)$, the orthogonal group over a field $k$ of characteristic 2 with respect to a quadratic form $\mathrm{q}$, we discuss the isomorphism classes of fixed points of involutions. When the quadratic space is either totally singular or nonsingular, a full classification of the isomorphism classes is given. We also give some implications of these results for a general quadratic space over a field of characteristic $2$. Comment: arXiv admin note: text overlap with arXiv:1903.09904 |
| Databáze: | arXiv |
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