- 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 ****ociated...
- Évariste
Galois (/ɡælˈwɑː/; French: [evaʁist ɡalwa]; 25
October 1811 – 31 May 1832) was a
French mathematician and
political activist.
While still in his...
- In mathematics,
Galois theory,
originally introduced by Évariste
Galois,
provides a
connection between field theory and
group theory. This connection...
- 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 cryptography,
Galois/Counter Mode (GCM) is a mode of
operation for symmetric-key
cryptographic block ciphers which is
widely adopted for its performance...
- In mathematics, a
Galois extension is an
algebraic field extension E/F that is
normal and separable; or equivalently, E/F is algebraic, and the
field fixed...
- in
order theory, a
Galois connection is a
particular correspondence (typically)
between two
partially ordered sets (posets).
Galois connections find applications...
-
Galois theory is a
result that
describes the
structure of
certain types of
field extensions in
relation to groups. It was
proved by Évariste
Galois in...
- mathematics,
Galois cohomology is the
study of the
group cohomology of
Galois modules, that is, the
application of
homological algebra to
modules for
Galois groups...
-
Galois rings are a type of
finite commutative rings which generalize both the
finite fields and the
rings of
integers modulo a
prime power. A
Galois ring...
