On generalized André planes without orbit of finite length on the line at infinite (Q1075591)
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scientific article; zbMATH DE number 3951424
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On generalized André planes without orbit of finite length on the line at infinite |
scientific article; zbMATH DE number 3951424 |
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On generalized André planes without orbit of finite length on the line at infinite (English)
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1985
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This paper is devoted to the study of the following question: Is there an infinite generalized André plane, which is neither Desarguesian nor a Hall plane, whose full collineation group has no orbit of finite length on the line at infinity? The answer is affirmative and an example of such a plane is furnished via some simple and interesting arithmetical considerations.
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non-desarguesian
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infinite generalized André plane
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Hall plane
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no orbit of finite length on the line at infinity
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