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finite projective plane (Topic)
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"finite projective plane" is owned by Mathprof. [ full author list (2) | owner history (1) ]
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See Also: projective plane, incidence structure, geometry, De Bruijn--Erdős theorem

Also defines:  prime power conjecture, planar ternary ring, PTR
Keywords:  incidence, design, graph, geometry

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finite projective planes have $q^2+q+1$ points and $q^2+q+1$ lines (Proof) by marijke
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Cross-references: open, computer, epic, power, prime, rational, sum of two squares, congruent, converse, vector, term, plus, factor, eigenvectors, act on, eigenspace, complementary, multiplicity, eigenvector, eigenvalues, determinant, diagonal, identity matrix, dot products, incidence matrix, row, column, matrix, contains, Steiner systems, designs, square, symmetries, near fields, semifields, skew fields, member, classes, product, sum, redundant, finite, conversely, translate, algebraic structure, operation, ternary ring, algebraic, interpretation, permutation group, trees, permutations, derangements, analysis, indices, bijection, easy to see, open problem, isomorphism, diagram, right, hexagon, sides, section, label, subscript, ranges, addition, intersection, NOR, field, Moore graphs, sufficient, necessary, girth, mean, argument, multigraph, length, cycles, diameter, imply, lies on, opposite, path, distance, even, color, edges, graph, vertices, nodes, bipartite graphs, coordinates, necessity, multiple, orders, clause, similar, lie on, plane, integer, number, projective plane, points, lines, solution, configurations, theorem, properties, axioms, iff, incident, incidence relation
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This is version 5 of finite projective plane, born on 2005-04-11, modified 2006-08-26.
Object id is 6943, canonical name is FiniteProjectivePlane4.
Accessed 9501 times total.

Classification:
AMS MSC05B25 (Combinatorics :: Designs and configurations :: Finite geometries)
 51A35 (Geometry :: Linear incidence geometry :: Non-Desarguesian affine and projective planes)
 51E15 (Geometry :: Finite geometry and special incidence structures :: Affine and projective planes)

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