• Thumbnail for Évariste Galois
    release from prison, Galois fought in a duel and died of the wounds he suffered. Galois was born on 25 October 1811 to Nicolas-Gabriel Galois and Adélaïde-Marie...
    41 KB (4,795 words) - 17:05, 17 August 2024
  • In mathematics, in the area of abstract algebra known as Galois theory, the Galois group of a certain type of field extension is a specific group associated...
    18 KB (3,190 words) - 20:36, 19 July 2024
  • Thumbnail for Galois theory
    In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory. This connection...
    32 KB (4,192 words) - 06:56, 26 June 2024
  • encryption, and uses arithmetic in the Galois field GF(2128) to compute the authentication tag; hence the name. Galois Message Authentication Code (GMAC)...
    23 KB (2,999 words) - 05:42, 12 June 2024
  • Finite field (redirect from Galois field)
    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...
    45 KB (6,162 words) - 13:35, 7 August 2024
  • significance of being a Galois extension is that the extension has a Galois group and obeys the fundamental theorem of Galois theory. A result of Emil...
    8 KB (1,100 words) - 22:29, 3 May 2024
  • in order theory, a Galois connection is a particular correspondence (typically) between two partially ordered sets (posets). Galois connections find applications...
    34 KB (4,173 words) - 03:41, 12 August 2024
  • Thumbnail for Field (mathematics)
    are central to differential Galois theory, a variant of Galois theory dealing with linear differential equations. Galois theory studies algebraic extensions...
    87 KB (10,299 words) - 08:01, 21 August 2024
  • Galois deformation Galois descent Galois extension Galois field Galois geometry Galois group Absolute Galois group Galois LFSRs Galois module Galois representation...
    896 bytes (65 words) - 12:56, 7 August 2024
  • 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...
    15 KB (1,927 words) - 19:44, 5 August 2024