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collineation group

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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

  • General linear group — Group theory Group theory …   Wikipedia

  • Frobenius group — In mathematics, a Frobenius group is a transitive permutation group on a finite set, such that no non trivial elementfixes more than one point and some non trivial element fixes a point. They are named after F. G. Frobenius. Structure The… …   Wikipedia

  • Mitchell's group — In mathematics, Mitchell s group is a complex reflection group in 6 complex dimensions of order 108 × 9!, introduced by Mitchell (1914). It has the structure 6.PSU4(F3).2. As a complex reflection group it has 126 reflections of… …   Wikipedia

  • 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

  • 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

  • Isotopy of loops — Isotopy of quasigroups = Let (Q,cdot) and (P,circ) be quasigroups. A quasigroup homotopy from Q to P is a triple (α, β, γ) of maps from Q to P such that :alpha(x)circeta(y) = gamma(xcdot y),for all x , y in Q . A quasigroup homomorphism is just… …   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

  • Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… …   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

  • List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

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