On affine groups admitting invariant two-point sets (Q837631)
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scientific article; zbMATH DE number 5597563
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On affine groups admitting invariant two-point sets |
scientific article; zbMATH DE number 5597563 |
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On affine groups admitting invariant two-point sets (English)
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20 August 2009
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Recall that a subset \(A\) of the plane is called a two-point set if \(A\) intersects each line in exactly two points. In this paper the authors show the existence of proper subgroups of \(S^1\) which leave no two-point set invariant (Theorem 2), as well as the existence of topologically homogeneous two-point sets (Corollary 7).
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two-point set
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isometry group
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homogeneous set
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