A note on embeddable \(\mathbb{F}_2\)-geometries (Q1586131)
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scientific article; zbMATH DE number 1530289
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on embeddable \(\mathbb{F}_2\)-geometries |
scientific article; zbMATH DE number 1530289 |
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A note on embeddable \(\mathbb{F}_2\)-geometries (English)
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1 November 2001
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The note under review is concerned with \(\mathbb{F}_2\)-embeddings of point-line geometries with line-size 3. The author disproves a conjecture of Cooperstein's by constructing an embeddable \(\mathbb{F}_2\)-geometry for which the embedding rank (namely, 4) is strictly smaller than the minimal size of a generating set of points (namely, 5).
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\(\mathbb{F}_2\)-embedding
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point-line geometries
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line-size 3
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