A note on affine subspaces (Q2351537)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on affine subspaces |
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A note on affine subspaces (English)
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24 June 2015
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The author makes small changes to Tamaschke's axioms. ``If \(A\) is an affine space and \(S\) a geometric group of translations of \(A\), then every point orbit of \(S\) is the set of points of an affine subspace of \(A\).'' The reverse statement holds true under a weak additional assumption. Finally, it is shown ``that every non-Desarguesian translation plane possesses a distinguished class of affine subspaces.''
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parallelism of an incidence structure
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Tamaschke's axioms
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geometric partition of a group
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affine space
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affine subspace
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geometric group of translations
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