On bilinear forms of height 2 and degree 1 or 2 in characteristic 2 (Q837032)
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scientific article; zbMATH DE number 5602634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On bilinear forms of height 2 and degree 1 or 2 in characteristic 2 |
scientific article; zbMATH DE number 5602634 |
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On bilinear forms of height 2 and degree 1 or 2 in characteristic 2 (English)
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10 September 2009
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The paper under review is a continuation of the work done by the first author [Pac. J. Math. 232, No. 1, 207--232 (2007; Zbl 1214.11044)] on the classification of symmetric bilinear forms of height 2 and degree \(d=1\) or \(2\) under fields of characteristic 2. Also, in that paper the notion of a good bilinear form was defined. In the paper under review the authors complete the classification of bilinear forms which are good of height 2 and degree 1 or 2. The results obtained in this paper allow the authors also to classify all bilinear forms which are not good and are of height and degree 2.
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bilinear forms
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quadratic forms
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function fields of quadrics
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norm degree
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standard splitting theory
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0.91867626
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0.88044053
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0.8752285
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0.8745856
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0.8738762
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0.8656421
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0.85919756
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