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- W4288409831 abstract "In this article we study the involutions of $mathrm{O}(V,mathrm{q})$, an orthogonal group for a vector space $V$ with quadratic form $mathrm{q}$ over a field of characteristic 2. The classification proceeds by discussing conjugacy classes of involutions arising as a product of transvections, involutions with respect to a hyperbolic space, and involutions acting nontrivially in the radical of $V$. We achieve a complete classification of the conjugacy classes of involutions when the quadratic space $(V,mathrm{q})$ is non-defective, and conclude with a discussion of the defective case." @default.
- W4288409831 created "2022-07-29" @default.
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- W4288409831 date "2019-03-23" @default.
- W4288409831 modified "2023-10-14" @default.
- W4288409831 title "On involutions of type $mathrm{O}(mathrm{q},k)$ over a field of characteristic two" @default.
- W4288409831 doi "https://doi.org/10.48550/arxiv.1903.09904" @default.
- W4288409831 hasPublicationYear "2019" @default.
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