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- Dowling_geometry abstract "In combinatorial mathematics, a Dowling geometry, named after Thomas A. Dowling, is a matroid associated with a group. There is a Dowling geometry of each rank for each group. If the rank is at least 3, the Dowling geometry uniquely determines the group. Dowling geometries have a role in matroid theory as universal objects (Kahn and Kung, 1982); in that respect they are analogous to projective geometries, but based on groups instead of fields.A Dowling lattice is the geometric lattice of flats associated with a Dowling geometry. The lattice and the geometry are mathematically equivalent: knowing either one determines the other. Dowling lattices, and by implication Dowling geometries, were introduced by Dowling (1973a,b).A Dowling lattice or geometry of rank n of a group G is often denoted Qn(G).".
- Dowling_geometry wikiPageID "5297278".
- Dowling_geometry wikiPageLength "7268".
- Dowling_geometry wikiPageOutDegree "25".
- Dowling_geometry wikiPageRevisionID "591181777".
- Dowling_geometry wikiPageWikiLink Biased_graph.
- Dowling_geometry wikiPageWikiLink Category:Finite_fields.
- Dowling_geometry wikiPageWikiLink Category:Finite_groups.
- Dowling_geometry wikiPageWikiLink Category:Matroid_theory.
- Dowling_geometry wikiPageWikiLink Combinatorics.
- Dowling_geometry wikiPageWikiLink Cycle_(graph_theory).
- Dowling_geometry wikiPageWikiLink Field_(mathematics).
- Dowling_geometry wikiPageWikiLink Finite_field.
- Dowling_geometry wikiPageWikiLink Function_(mathematics).
- Dowling_geometry wikiPageWikiLink Gain_graph.
- Dowling_geometry wikiPageWikiLink Geometric_lattice.
- Dowling_geometry wikiPageWikiLink Glossary_of_graph_theory.
- Dowling_geometry wikiPageWikiLink Graded_poset.
- Dowling_geometry wikiPageWikiLink Group_(mathematics).
- Dowling_geometry wikiPageWikiLink Identity_element.
- Dowling_geometry wikiPageWikiLink Initial_and_terminal_objects.
- Dowling_geometry wikiPageWikiLink Mathematics.
- Dowling_geometry wikiPageWikiLink Matroid.
- Dowling_geometry wikiPageWikiLink Multiple_edges.
- Dowling_geometry wikiPageWikiLink Partially_ordered_set.
- Dowling_geometry wikiPageWikiLink Projective_geometry.
- Dowling_geometry wikiPageWikiLink Quasigroup.
- Dowling_geometry wikiPageWikiLink Vector_space.
- Dowling_geometry wikiPageWikiLinkText "Dowling geometries".
- Dowling_geometry wikiPageWikiLinkText "Dowling geometry".
- Dowling_geometry subject Category:Finite_fields.
- Dowling_geometry subject Category:Finite_groups.
- Dowling_geometry subject Category:Matroid_theory.
- Dowling_geometry hypernym Matroid.
- Dowling_geometry type Group.
- Dowling_geometry type Combinatoric.
- Dowling_geometry type Field.
- Dowling_geometry type Group.
- Dowling_geometry comment "In combinatorial mathematics, a Dowling geometry, named after Thomas A. Dowling, is a matroid associated with a group. There is a Dowling geometry of each rank for each group. If the rank is at least 3, the Dowling geometry uniquely determines the group.".
- Dowling_geometry label "Dowling geometry".
- Dowling_geometry sameAs Q5302749.
- Dowling_geometry sameAs m.0dd5xl.
- Dowling_geometry sameAs Q5302749.
- Dowling_geometry wasDerivedFrom Dowling_geometry?oldid=591181777.
- Dowling_geometry isPrimaryTopicOf Dowling_geometry.