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- Reflection_group abstract "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.".
- Reflection_group wikiPageExternalLink Reflection_Groups_and_Coxeter_Groups.html?id=ODfjmOeNLMUC.
- Reflection_group wikiPageExternalLink rev4.pdf.
- Reflection_group wikiPageExternalLink monthly.pdf.
- Reflection_group wikiPageID "2422023".
- Reflection_group wikiPageLength "6805".
- Reflection_group wikiPageOutDegree "46".
- Reflection_group wikiPageRevisionID "643958475".
- Reflection_group wikiPageWikiLink ADE_classification.
- Reflection_group wikiPageWikiLink Affine_group.
- Reflection_group wikiPageWikiLink American_Mathematical_Monthly.
- Reflection_group wikiPageWikiLink Arrangement_of_hyperplanes.
- Reflection_group wikiPageWikiLink Cambridge_University_Press.
- Reflection_group wikiPageWikiLink Cartan–Dieudonné_theorem.
- Reflection_group wikiPageWikiLink Category:Reflection_groups.
- Reflection_group wikiPageWikiLink Chevalley–Shephard–Todd_theorem.
- Reflection_group wikiPageWikiLink Complex_reflection_group.
- Reflection_group wikiPageWikiLink Coxeter_diagram.
- Reflection_group wikiPageWikiLink Coxeter_group.
- Reflection_group wikiPageWikiLink Coxeter–Dynkin_diagram.
- Reflection_group wikiPageWikiLink Dihedral_group.
- Reflection_group wikiPageWikiLink Discrete_group.
- Reflection_group wikiPageWikiLink Euclidean_space.
- Reflection_group wikiPageWikiLink Field_(mathematics).
- Reflection_group wikiPageWikiLink Finite_field.
- Reflection_group wikiPageWikiLink Frieze_group.
- Reflection_group wikiPageWikiLink Fundamental_domain.
- Reflection_group wikiPageWikiLink General_linear_group.
- Reflection_group wikiPageWikiLink Geometry.
- Reflection_group wikiPageWikiLink Group_presentation.
- Reflection_group wikiPageWikiLink Group_theory.
- Reflection_group wikiPageWikiLink H.S.M._Coxeter.
- Reflection_group wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Reflection_group wikiPageWikiLink Hyperbolic_space.
- Reflection_group wikiPageWikiLink Hyperplane_arrangement.
- Reflection_group wikiPageWikiLink Isometry_group.
- Reflection_group wikiPageWikiLink Kaleidoscope.
- Reflection_group wikiPageWikiLink Lie_group.
- Reflection_group wikiPageWikiLink N-sphere.
- Reflection_group wikiPageWikiLink Orthogonal_group.
- Reflection_group wikiPageWikiLink Platonic_solid.
- Reflection_group wikiPageWikiLink Point_groups_in_three_dimensions.
- Reflection_group wikiPageWikiLink Point_groups_in_two_dimensions.
- Reflection_group wikiPageWikiLink Presentation_of_a_group.
- Reflection_group wikiPageWikiLink Reflection_(mathematics).
- Reflection_group wikiPageWikiLink Regular_polytope.
- Reflection_group wikiPageWikiLink Riemannian_manifold.
- Reflection_group wikiPageWikiLink Riemannian_symmetric_space.
- Reflection_group wikiPageWikiLink Rotation.
- Reflection_group wikiPageWikiLink Shear_mapping.
- Reflection_group wikiPageWikiLink Symmetric_space.
- Reflection_group wikiPageWikiLink Symmetry_group.
- Reflection_group wikiPageWikiLink Tessellation.
- Reflection_group wikiPageWikiLink Triangle_group.
- Reflection_group wikiPageWikiLink Wallpaper_group.
- Reflection_group wikiPageWikiLink Weyl_group.
- Reflection_group wikiPageWikiLinkText "Euclidean reflection group".
- Reflection_group wikiPageWikiLinkText "Reflection group".
- Reflection_group wikiPageWikiLinkText "Reflection group#finite reflection group".
- Reflection_group wikiPageWikiLinkText "reflection group".
- Reflection_group hasPhotoCollection Reflection_group.
- Reflection_group id "Reflection_group".
- Reflection_group title "Reflection group".
- Reflection_group wikiPageUsesTemplate Template:Citation.
- Reflection_group wikiPageUsesTemplate Template:Citation_needed.
- Reflection_group wikiPageUsesTemplate Template:Eom.
- Reflection_group wikiPageUsesTemplate Template:For.
- Reflection_group wikiPageUsesTemplate Template:Harv.
- Reflection_group wikiPageUsesTemplate Template:Refbegin.
- Reflection_group wikiPageUsesTemplate Template:Refend.
- Reflection_group wikiPageUsesTemplate Template:Reflist.
- Reflection_group subject Category:Reflection_groups.
- Reflection_group hypernym Group.
- Reflection_group type Article.
- Reflection_group type Band.
- Reflection_group type Group.
- Reflection_group type Article.
- Reflection_group type Group.
- Reflection_group comment "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.".
- Reflection_group label "Reflection group".
- Reflection_group sameAs m.07bz44.
- Reflection_group sameAs Q7307244.
- Reflection_group sameAs Q7307244.
- Reflection_group wasDerivedFrom Reflection_group?oldid=643958475.
- Reflection_group isPrimaryTopicOf Reflection_group.