The translation planes of order 16 that admit nonsolvable collineation groups (Q792621)
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scientific article; zbMATH DE number 3853869
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The translation planes of order 16 that admit nonsolvable collineation groups |
scientific article; zbMATH DE number 3853869 |
Statements
The translation planes of order 16 that admit nonsolvable collineation groups (English)
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1984
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The non-Desarguesian translation plane of order 9 has long been known to be exceptional in many respects. It is the smallest possible non- Desarguesian plane. The smallest possible non-Desarguesian plane of even order has order 16 and planes of order 16 also have exceptional properties. The author characterizes the translation planes of order 16 with non-solvable collineation groups. The translation complement contains SL(2,4) or PSL(2,7) and the plane is one of the known planes.
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generalized Hall system
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non-Desarguesian translation plane
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non-solvable collineation groups
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0.90802217
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0.8900194
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0.88875973
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0.8854147
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0.88358235
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0.8834856
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0.88058686
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