Translations in affine Klingenberg spaces (Q641704)
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scientific article; zbMATH DE number 5963293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Translations in affine Klingenberg spaces |
scientific article; zbMATH DE number 5963293 |
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Translations in affine Klingenberg spaces (English)
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25 October 2011
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The authors prove the Little Theorem of Desargues in affine Klingenberg spaces \(A\) of dimension at least 3. This allows to construct many translations. In fact, by Theorems 5.10 and 5.11 the translations of \(A\) form an abelian group which is sharply transitive on points. Moreover, it is shown that several different definitions of translations are equivalent if any two points lie on at least one line.
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affine Klingenberg space
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translation
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dilatation
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