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- In group theory and geometry, a reflection group is a discrete group which is generated by a set of reflections of a finite-dimensional Euclidean space. The symmetry group of a regular polytope or of a tiling of the Euclidean space by congruent copies of a regular polytope is necessarily a reflection group. Reflection groups also include Weyl groups and crystallographic Coxeter groups. While the orthogonal group is generated by reflections (by the Cartan–Dieudonné theorem), it is a continuous group (indeed, Lie group), not a discrete group, and is generally considered separately. (en)
- Un gruppo di riflessione, in geometria e nella teoria dei gruppi, è un gruppo discreto generato dall'insieme delle riflessioni di uno spazio euclideo di dimensione finita. Tra i gruppi di riflessione si annoverano anche i gruppi di Weyl e i gruppi cristallografici di Coxeter. (it)
- Grupa odbić – dyskretna grupa odwzorowań generowana przez symetrie względem hiperpowierzchni przestrzeni euklidesowej lub przestrzeni hiperbolicznej lub innej jednospójnej przestrzeni Riemanna o stałej . (pl)
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- 7226 (xsd:nonNegativeInteger)
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- In group theory and geometry, a reflection group is a discrete group which is generated by a set of reflections of a finite-dimensional Euclidean space. The symmetry group of a regular polytope or of a tiling of the Euclidean space by congruent copies of a regular polytope is necessarily a reflection group. Reflection groups also include Weyl groups and crystallographic Coxeter groups. While the orthogonal group is generated by reflections (by the Cartan–Dieudonné theorem), it is a continuous group (indeed, Lie group), not a discrete group, and is generally considered separately. (en)
- Un gruppo di riflessione, in geometria e nella teoria dei gruppi, è un gruppo discreto generato dall'insieme delle riflessioni di uno spazio euclideo di dimensione finita. Tra i gruppi di riflessione si annoverano anche i gruppi di Weyl e i gruppi cristallografici di Coxeter. (it)
- Grupa odbić – dyskretna grupa odwzorowań generowana przez symetrie względem hiperpowierzchni przestrzeni euklidesowej lub przestrzeni hiperbolicznej lub innej jednospójnej przestrzeni Riemanna o stałej . (pl)
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- Gruppo di riflessione (it)
- Reflection group (en)
- Grupa odbić (pl)
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