Co-Minkowski spaces, their reflection structure and \(K\)-loops (Q1849890)
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scientific article; zbMATH DE number 1838889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Co-Minkowski spaces, their reflection structure and \(K\)-loops |
scientific article; zbMATH DE number 1838889 |
Statements
Co-Minkowski spaces, their reflection structure and \(K\)-loops (English)
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2 December 2002
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The authors consider co-Minkowski planes and co-Minkowski cones over a field \(F\). Assuming that the field \(F\) has only two square classes and that \(-1\) is not a square in \(F\), they introduce a reflection structure on the cone of a co-Minkowski plane. From this situation they obtain a \(K\)-loop. If \(2\) is a square in \(F\), then this \(K\)-loop is fibered.
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\(K\)-loops
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reflection structures
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quadratic spaces
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co-Minkowski planes
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