The classification of spreads in \(\text{PG}(3,q)\) admitting linear groups of order \(q(q+1)\). I: Odd order (Q1775238)
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scientific article; zbMATH DE number 2165797
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The classification of spreads in \(\text{PG}(3,q)\) admitting linear groups of order \(q(q+1)\). I: Odd order |
scientific article; zbMATH DE number 2165797 |
Statements
The classification of spreads in \(\text{PG}(3,q)\) admitting linear groups of order \(q(q+1)\). I: Odd order (English)
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6 May 2005
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In the article are studied the spreads in \(\text{PG}(3, q)\), \(q= p^r\), \(p\) odd, whose associated planes admit linear collineation groups of order \(q(q+ 1)\), such that a Sylow \(p\)-subgroup fixes a line and acts non-trivially on it. The classification based on construction procedures is given of all such spreads.
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spread
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conical flock
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regulus-inducing group
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Baer group
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0.9787449
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0.8708948
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0.8686191
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0.84538394
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