On 2-designs (Q1063603)
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scientific article; zbMATH DE number 3918373
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On 2-designs |
scientific article; zbMATH DE number 3918373 |
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On 2-designs (English)
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1985
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The set of \(b\) for which there exists a linear space with \(v\) points and \(b\) lines is studied very sharply, particularly for large \(v\) and for \(v\) of the form \(n^2+n+1\). Interesting is an extremal case: if \(v=n^2+n+1\), \(b=n^22n+1\) the space is obtained from a projective plane replacing one of its lines with a near pencil or a projective plane. Conjectures and problems are given too.
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linear space
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projective plane
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