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- Unital_(geometry) abstract "In geometry, a unital is a set of n3 + 1 points arranged into subsets of size n + 1 so that every pair of distinct points of the set are contained in exactly one subset. n ≥ 3 is required by some authors to avoid small exceptional cases. This is equivalent to saying that a unital is a 2-(n3 + 1, n + 1, 1) block design. Some unitals may be embedded in a projective plane of order n2 (the subsets of the design become sets of collinear points in the projective plane). In this case of embedded unitals, every line of the plane intersects the unital in either 1 or n + 1 points. In the Desarguesian planes, PG(2,q2), the classical examples of unitals are given by nondegenerate Hermitian curves. There are also many non-classical examples. The first and the only known unital with non prime power parameters, n=6, was constructed by Bhaskar Bagchi and Sunanda Bagchi. It is still unknown if this unital can be embedded in a projective plane of order 36, if such a plane exists.".
- Unital_(geometry) wikiPageID "41285965".
- Unital_(geometry) wikiPageLength "7795".
- Unital_(geometry) wikiPageOutDegree "37".
- Unital_(geometry) wikiPageRevisionID "707098528".
- Unital_(geometry) wikiPageWikiLink Bijection.
- Unital_(geometry) wikiPageWikiLink Block_design.
- Unital_(geometry) wikiPageWikiLink Category:Design_theory.
- Unital_(geometry) wikiPageWikiLink Category:Finite_geometry.
- Unital_(geometry) wikiPageWikiLink Category:Incidence_geometry.
- Unital_(geometry) wikiPageWikiLink Category:Projective_geometry.
- Unital_(geometry) wikiPageWikiLink Collinearity.
- Unital_(geometry) wikiPageWikiLink Collineation.
- Unital_(geometry) wikiPageWikiLink Conjugacy_class.
- Unital_(geometry) wikiPageWikiLink Cyclic_group.
- Unital_(geometry) wikiPageWikiLink Embedding.
- Unital_(geometry) wikiPageWikiLink Ergebnisse_der_Mathematik_und_ihrer_Grenzgebiete.
- Unital_(geometry) wikiPageWikiLink Geometry.
- Unital_(geometry) wikiPageWikiLink Group_action.
- Unital_(geometry) wikiPageWikiLink Hall_plane.
- Unital_(geometry) wikiPageWikiLink Homogeneous_coordinates.
- Unital_(geometry) wikiPageWikiLink Hughes_plane.
- Unital_(geometry) wikiPageWikiLink Hyperplane.
- Unital_(geometry) wikiPageWikiLink Involution_(mathematics).
- Unital_(geometry) wikiPageWikiLink Isomorphism.
- Unital_(geometry) wikiPageWikiLink Point_(geometry).
- Unital_(geometry) wikiPageWikiLink Projective_geometry.
- Unital_(geometry) wikiPageWikiLink Projective_plane.
- Unital_(geometry) wikiPageWikiLink Ree_group.
- Unital_(geometry) wikiPageWikiLink Sesquilinear_form.
- Unital_(geometry) wikiPageWikiLink Springer_Science+Business_Media.
- Unital_(geometry) wikiPageWikiLink Sylow_theorems.
- Unital_(geometry) wikiPageWikiLink Vector_space.
- Unital_(geometry) wikiPageWikiLinkText "geometric unital".
- Unital_(geometry) wikiPageWikiLinkText "unital".
- Unital_(geometry) wikiPageWikiLinkText "unitals".
- Unital_(geometry) wikiPageUsesTemplate Template:Citation.
- Unital_(geometry) wikiPageUsesTemplate Template:Reflist.
- Unital_(geometry) subject Category:Design_theory.
- Unital_(geometry) subject Category:Finite_geometry.
- Unital_(geometry) subject Category:Incidence_geometry.
- Unital_(geometry) subject Category:Projective_geometry.
- Unital_(geometry) hypernym Set.
- Unital_(geometry) comment "In geometry, a unital is a set of n3 + 1 points arranged into subsets of size n + 1 so that every pair of distinct points of the set are contained in exactly one subset. n ≥ 3 is required by some authors to avoid small exceptional cases. This is equivalent to saying that a unital is a 2-(n3 + 1, n + 1, 1) block design. Some unitals may be embedded in a projective plane of order n2 (the subsets of the design become sets of collinear points in the projective plane).".
- Unital_(geometry) label "Unital (geometry)".
- Unital_(geometry) sameAs Q17148807.
- Unital_(geometry) sameAs m.0zg6cyv.
- Unital_(geometry) sameAs Q17148807.
- Unital_(geometry) wasDerivedFrom Unital_(geometry)?oldid=707098528.
- Unital_(geometry) isPrimaryTopicOf Unital_(geometry).