Galois Group
Let 
be a Field Extension of 
, denoted 
, and let 
be the set of Automorphisms of, that is, the set of Automorphisms 
of such that 
for every 
,so that is fixed. Then is a Group of transformations of , called the Galois group of .
The Galois group of 
consists of the Identity Element and Complex Conjugation. These functions both take a given Real to the same real.
References
Jacobson, N. Basic Algebra I, 2nd ed. New York: W. H. Freeman, p. 234, 1985.
- Steenrod-Eilenberg Axioms
- Steenrod's Realization Problem
- Steepest Descent Method
- Steffensen's Inequality
- Steffenson's Formula
- Steinbach Screw
- Steiner Chain
- Steiner Construction
- Steinerian Curve
- Steiner-Lehmus Theorem
- Steiner Points
- Steiner Quadruple System
- Steiner's Ellipse
- Steiner Set
- Steiner's Hypocycloid
- Steiner's Porism
- Steiner's Problem
- Steiner's Segment Problem
- Steiner's Theorem
- Steiner Surface
- Steiner System
- Steiner Triple System
- Steinhaus-Moser Notation
- Steinitz's Theorem
- Steinmetz Solid