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- Translation_plane abstract "In mathematics, a translation plane is a particular kind of projective plane. Almost all non-Desarguesian planes are either translation planes or are related to this type of incidence structure.In a projective plane, let P represent a point, and l represent a line. A central collineation with center P and axis l is a collineation fixing every point on l and every line through P. It is called an elation if P is on l, otherwise it is called a homology. The central collineations with centre P and axis l form a group.A line l in a projective plane Π is a translation line if the group of elations with axis l acts transitively on the points of the affine plane obtained by removing l from the plane Π, Πl (the affine derivative of Π). A projective plane with a translation line is called a translation plane and the affine plane obtained by removing the translation line is called an affine translation plane. While in general it is often easier to work with projective planes, in this context the affine planes are preferred and several authors simply use the term translation plane to mean affine translation plane.".
- Translation_plane wikiPageExternalLink publications.
- Translation_plane wikiPageExternalLink pglc3a.html.
- Translation_plane wikiPageID "2628762".
- Translation_plane wikiPageLength "11690".
- Translation_plane wikiPageOutDegree "27".
- Translation_plane wikiPageRevisionID "696324904".
- Translation_plane wikiPageWikiLink Affine_geometry.
- Translation_plane wikiPageWikiLink Affine_plane_(incidence_geometry).
- Translation_plane wikiPageWikiLink Alternative_algebra.
- Translation_plane wikiPageWikiLink André_plane.
- Translation_plane wikiPageWikiLink Category:Projective_geometry.
- Translation_plane wikiPageWikiLink Cayley_plane.
- Translation_plane wikiPageWikiLink Collineation.
- Translation_plane wikiPageWikiLink Ergebnisse_der_Mathematik_und_ihrer_Grenzgebiete.
- Translation_plane wikiPageWikiLink Field_(mathematics).
- Translation_plane wikiPageWikiLink Field_extension.
- Translation_plane wikiPageWikiLink Group_action.
- Translation_plane wikiPageWikiLink Hall_plane.
- Translation_plane wikiPageWikiLink Incidence_structure.
- Translation_plane wikiPageWikiLink Marcel_Dekker.
- Translation_plane wikiPageWikiLink Mathematics.
- Translation_plane wikiPageWikiLink Moufang_plane.
- Translation_plane wikiPageWikiLink Non-Desarguesian_plane.
- Translation_plane wikiPageWikiLink Pappuss_hexagon_theorem.
- Translation_plane wikiPageWikiLink Projective_plane.
- Translation_plane wikiPageWikiLink Springer_Science+Business_Media.
- Translation_plane wikiPageWikiLink Transitive_relation.
- Translation_plane wikiPageWikiLink Translation_(geometry).
- Translation_plane wikiPageWikiLink Transversal_(combinatorics).
- Translation_plane wikiPageWikiLink Vector_space.
- Translation_plane wikiPageWikiLinkText "translation plane".
- Translation_plane wikiPageUsesTemplate Template:Citation.
- Translation_plane wikiPageUsesTemplate Template:Main.
- Translation_plane wikiPageUsesTemplate Template:Math.
- Translation_plane wikiPageUsesTemplate Template:Reflist.
- Translation_plane subject Category:Projective_geometry.
- Translation_plane hypernym Kind.
- Translation_plane comment "In mathematics, a translation plane is a particular kind of projective plane. Almost all non-Desarguesian planes are either translation planes or are related to this type of incidence structure.In a projective plane, let P represent a point, and l represent a line. A central collineation with center P and axis l is a collineation fixing every point on l and every line through P. It is called an elation if P is on l, otherwise it is called a homology.".
- Translation_plane label "Translation plane".
- Translation_plane sameAs Q382515.
- Translation_plane sameAs Affine_Translationsebene.
- Translation_plane sameAs m.07svn4.
- Translation_plane sameAs Q382515.
- Translation_plane wasDerivedFrom Translation_plane?oldid=696324904.
- Translation_plane isPrimaryTopicOf Translation_plane.