On sets without tangents in Galois planes of even order (Q1404317)
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scientific article; zbMATH DE number 1968858
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On sets without tangents in Galois planes of even order |
scientific article; zbMATH DE number 1968858 |
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On sets without tangents in Galois planes of even order (English)
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21 August 2003
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It is shown that the cardinality of a nonempty set of points without tangents in the desarguesian projective plane \(\text{PG}(2,q)\), \(q\) even, is at least \(q+1+ \sqrt{q/6}\) provided that the set is not of even type; and some useful combinatoric properties of this finite geometry are given.
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finite projective planes
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sets wihout tangent planes
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