What is Fundamental theorem of Galois theory?

In mathematics, George Glauberman's ZJ theorem states that if a finite group G is p-constrained and p-stable and has a normal p-subgroup for some odd prime p, then Op′Z] is...

In complex analysis, a branch of mathematics, theHadamard three-circle theorem is a result about the behavior of holomorphic functions. Let...

The transport theorem is a vector equation that relates the time derivative of a Euclidean vector as evaluated in a non-rotating coordinate system to its time derivative in a rotating...

The butterfly theorem is a classical result in Euclidean geometry, which can be stated as follows: Let M be the midpoint of a chord PQ of a circle, through which...

In mathematics, differential Galois theory studies the Galois groups of differential equations.

In mathematics, the absolute Galois group GK of a field K is the Galois group of K over K, where K is a separable closure of K. Alternatively it is...

In abstract algebra, the fundamental theorem on homomorphisms, also known as the fundamental homomorphism theorem, or the first isomorphism theorem, relates the structure of two objects between which a homomorphism...

In the mathematical field of Riemannian geometry, the fundamental theorem of Riemannian geometry states that on any Riemannian manifold there is a unique affine connection which is torsion-free and metric-compatible,...

In mathematics, specifically in functional analysis and Hilbert space theory, the fundamental theorem of Hilbert spaces gives a necessarily and sufficient condition for a Hausdorff pre-Hilbert space to be a...

Many first principles in quantum field theory are explained, or get further insight, in string theory.