The collineation groups of generalized twisted field planes (Q1297643)
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scientific article; zbMATH DE number 1335237
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The collineation groups of generalized twisted field planes |
scientific article; zbMATH DE number 1335237 |
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The collineation groups of generalized twisted field planes (English)
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3 January 2000
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This paper discusses certain aspects of generalized twisted field planes. Autotopisms are investigated; in particular the authors consider the case where the autotopism group acts transitively on the nonvertex points of one or more sides of the autotopism triangle. Furthermore, isotopisms of generalized twisted fields are studied. Necessary and sufficient conditions are given as to when a generalized twisted field plane is self-dual or contains a polarity. These results can be used to improve some results concerning semifield planes.
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generalized twisted field planes
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autotopism group
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self-dual
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polarity
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semifield planes
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