Galois geometry information

concerned with algebraic and analytic geometry over a finite field (or Galois field). More narrowly, a Galois geometry may be defined as a projective space...

architecture for supercomputing, based on concepts from finite geometry, especially projective geometry over finite fields. The Association for Computing Machinery...

are called Galois geometries. Finite geometries can also be defined purely axiomatically. Most common finite geometries are Galois geometries, since any...

In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory. This connection...

in order theory, a Galois connection is a particular correspondence (typically) between two partially ordered sets (posets). Galois connections find applications...

In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements. As with any...

In mathematics, a Galois module is a G-module, with G being the Galois group of some extension of fields. The term Galois representation is frequently...

(1997). "Grothendieck's "Long march through Galois theory"". In Schneps; Lochak, Pierre (eds.). Geometric Galois actions. 1. London Mathematical Society Lecture...

physiologically active lipid compounds PG(n,q), a projective space of Galois geometry PG(3,2), the smallest three-dimensional projective space pg (Unix)...

ISBN 978-2-85629-141-2. Harbater, David (21 July 2003). "Galois Groups and Fundamental Groups§9.Patching and Galois theory (Dept. of Mathematics, University of Pennsylvania)"...

monograph "Introduction to Galois Geometries" (1967). In 1979 Hirschfeld published the first of a trilogy on Galois geometry, pegged at a level depending...

In mathematics, the interplay between the Galois group G of a Galois extension L of a number field K, and the way the prime ideals P of the ring of integers...

Descent (category theory) Grothendieck's Galois theory Algebraic stack Gerbe Étale cohomology Motive (algebraic geometry) Motivic cohomology A¹ homotopy theory...

are called Galois geometries. Finite geometries can also be defined purely axiomatically. Most common finite geometries are Galois geometries, since any...

Discrete geometry Finite geometry Galois geometry General topology Geometric topology Integral geometry Noncommutative geometry Non-Euclidean geometry Projective...

Integral geometry Euclidean geometry Finite geometry Galois geometry Noncommutative geometry Solid geometry Trigonometry Number theory Analytic number...

arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around...

Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...

equations of high degree. Évariste Galois coined the term "group" and established a connection, now known as Galois theory, between the nascent theory...

derivatives. Differential Galois theory the study of the Galois groups of differential fields. Differential geometry a form of geometry that uses techniques...

algebraic equations, number theory and geometry. Joseph Louis Lagrange, Niels Henrik Abel and Évariste Galois were early researchers in the field of group...

additional data) allows one to "descend" from X to Y. When G is the Galois group of a finite Galois extension L/K, for the G-torsor Spec ⁡ L → Spec ⁡ K {\displaystyle...

x − iy). The Galois group of an extension tells us many of its crucial properties. The study of Galois groups started with Évariste Galois; in modern language...