Fiber structure of extensions of groups in crystallography (Q1333426)
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scientific article; zbMATH DE number 639211
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fiber structure of extensions of groups in crystallography |
scientific article; zbMATH DE number 639211 |
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Fiber structure of extensions of groups in crystallography (English)
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7 June 1995
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It is shown how the structure of group extensions can be presented in the fibre bundle formalism, with a passive group as base and an active group as standard fibre. It is demonstrated how the so-called factor system, which defines the extension, depends on the choice of the fibre bundle section. The ideas are illustrated by a (finite) crystallographic group.
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group extensions
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factor system
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fibre bundle section
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crystallographic group
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