Coeuklidische Hjelmslevgruppen. (On co-Euclidean Hjelmslev groups) (Q1117458)
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scientific article; zbMATH DE number 4092232
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coeuklidische Hjelmslevgruppen. (On co-Euclidean Hjelmslev groups) |
scientific article; zbMATH DE number 4092232 |
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Coeuklidische Hjelmslevgruppen. (On co-Euclidean Hjelmslev groups) (English)
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1989
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A 3-dimensional metric vector space V over a field of characteristic \(\neq 2\) defines a reflection geometry in the sense of F. Bachmann, i.e., a geometry of line reflections in an orthogonal group. The case \(Ind V=0,\) \(\dim rad V=1\) is dealt with in this paper. It is treated as one out of four possible geometries which are all covered by a general characterization of co-Euclidean Hjelmslev groups.
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metric vector space
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line reflections
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orthogonal group
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Hjelmslev groups
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