finite geometry

Etymology

Definitions

1. 1

   Any geometric system that has only a finite number of points.

   • A method of using polynomials to describe objects in finite geometries is outlined and the problems where this method has led to a solution are surveyed.
   • Finite geometries, such as Euclidean and projective geometries, are powerful mathematical tools for constructing error-control codes.
2. 2

   The branch of geometry that concerns geometric systems with only a finite number of…

   The branch of geometry that concerns geometric systems with only a finite number of points.

   • The coordinates of geometry were as incompatible with representation theory as were the splitting fields of representation theory with finite geometry.
   • We give a survey on a topic in Finite Geometry which has generated considerable interest in the literature: the construction of maximal sets of mutually orthogonal Latin squares (MOLS) or, equivalently, of maximal nets.
   • Finite geometry is a broad area of research, but much of it is not Euclidean in flavour and no theory seems to match that of oriented matroids in establishing combinatorial Euclidean geometry.

The neighborhood