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On 1-isometries of affine quadrics over finite fields - MaRDI portal

On 1-isometries of affine quadrics over finite fields (Q1385227)

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scientific article; zbMATH DE number 1146258
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English
On 1-isometries of affine quadrics over finite fields
scientific article; zbMATH DE number 1146258

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    On 1-isometries of affine quadrics over finite fields (English)
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    26 April 1998
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    The author investigates regular central quadrics in affine spaces of dimension \(\geq 4\) over finite fields which contain lines. The 1-isometries of a regular central quadric with reference to an element of the field are induced by the metric. Counterexamples are given in the exceptional case and in case of dimension 3.
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    1-isometry
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    affine space over finite fields
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    quadrics
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