projective collineation

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• Collineation — In projective geometry, a collineation is a one to one and onto map (a bijection) from one projective space to another, or from a projective space to itself, such that the images of collinear points are themselves collinear. All projective linear …   Wikipedia

• Théorème fondamental de la géométrie projective — Deux théorèmes de la géométrie projective s appellent théorème fondamental de la géométrie projective : le premier théorème fondamental de la géométrie projective affirme que, quels que soient les repères projectifs d un espace projectif de… …   Wikipédia en Français

• Oval (projective plane) — In mathematics, an oval in a projective plane is a set of points, no three collinear, such that there is a unique tangent line at each point (a tangent line is defined as a line meeting the point set at only one point, also known as a 1 secant).… …   Wikipedia

• Duality (projective geometry) — A striking feature of projective planes is the symmetry of the roles played by points and lines in the definitions and theorems, and (plane) duality is the formalization of this metamathematical concept. There are two approaches to the subject of …   Wikipedia

• Correlation (projective geometry) — This article is about correlation in projective geometry. For other uses, see correlation (disambiguation). A correlation is a duality (collineation from a projective space onto its dual space, taking points to hyperplanes (and vice versa) and… …   Wikipedia

• Reciprocity (projective geometry) — A reciprocity is a collineation from a projective space onto its dual space, taking points to hyperplanes (and vice versa) and preserving incidence.If it can be represented as a homography, it is called a correlation …   Wikipedia

• Nathan Mendelsohn — Nathan Saul Mendelsohn, CM, FRSC (April 14, 1917 – July 4, 2006) was an American born mathematician who lived and worked in Canada. Mendelsohn was a researcher in several areas of discrete mathematics, including group theory and combinatorics.… …   Wikipedia

• Plan de Fano — Une représentation du plan de Fano En géométrie projective finie, le plan de Fano, nommé ainsi d après le mathématicien Gino Fano, est le plus petit plan projectif fini, c est à dire celui comportant le plus petit nombre de points et de droites,… …   Wikipédia en Français

• Fano plane — In finite geometry, the Fano plane (after Gino Fano) is the projective plane with the least number of points and lines: 7 each. GeometryPerhaps the best way to view the plane is via linear algebra. Using the standard construction via homogeneous… …   Wikipedia

• Translation plane — In mathematics, a translation plane is a particular kind of projective plane, as considered as a combinatorial object. [Projective Planes [http://www.maths.qmul.ac.uk/ pjc/pps/pps2.pdf On projective planes] ] In a projective plane, scriptstyle p… …   Wikipedia

• General linear group — Group theory Group theory …   Wikipedia