Fano subplanes in finite Figueroa planes (Q641702)
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scientific article; zbMATH DE number 5963291
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fano subplanes in finite Figueroa planes |
scientific article; zbMATH DE number 5963291 |
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Fano subplanes in finite Figueroa planes (English)
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25 October 2011
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The Figueroa planes are an infinite family of non-desarguesian planes which are not translation planes. They can be either infinite or finite of order \(q^3\), \(q>2\), with \(q\) a prime power. There exists an open conjecture that all non-desarguesian projective planes contain a Fano subplane, that is the projective plane of order 2. The author proves that every Figueroa plane of finite order contains a Fano subplane.
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projective plane
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Figueroa
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Fano
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finite field
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0.9108123
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0.9032974
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0.8917572
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0.8776834
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0.86553544
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