Sublines and subplanes of \(\mathrm{PG}(2,q^{3})\) in the Bruck-Bose representation in \(\mathrm{PG}(6,q)\) (Q661979)
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scientific article; zbMATH DE number 6005618
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sublines and subplanes of \(\mathrm{PG}(2,q^{3})\) in the Bruck-Bose representation in \(\mathrm{PG}(6,q)\) |
scientific article; zbMATH DE number 6005618 |
Statements
Sublines and subplanes of \(\mathrm{PG}(2,q^{3})\) in the Bruck-Bose representation in \(\mathrm{PG}(6,q)\) (English)
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11 February 2012
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In this study authors investigate the Bruck-Bose representation of \(\mathrm{PG}(2,q^3)\) in \(\mathrm{PG}(6,q)\). They study sublines and subplanes of order \(q\) in \(\mathrm{PG}(2,q^3)\) and describe their representation in \(\mathrm{PG}(6,q)\). Then they show how these results can be generalized to the Bruck-Bose representation of \(\mathrm{PG}(2,q^n)\) in \(\mathrm{PG}(2n,q)\).
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Bruck-Bose representation
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Baer subplanes
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