Galois is not transitive

The phrase “Galois is not transitive” is a mnemonic for the statement “The relationMathworldPlanetmathPlanetmath ‘is a Galois extensionMathworldPlanetmath of’ is not transitiveMathworldPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath.” This means that, if K/F and L/K are Galois extensions (, it does not follow that L/F is Galois. This follows immediately from the fact that normal is not transitive. See example of normal extensionMathworldPlanetmath for more details.

Title Galois is not transitive
Canonical name GaloisIsNotTransitive
Date of creation 2013-03-22 16:00:31
Last modified on 2013-03-22 16:00:31
Owner Wkbj79 (1863)
Last modified by Wkbj79 (1863)
Numerical id 10
Author Wkbj79 (1863)
Entry type Definition
Classification msc 12F10
Related topic ExampleOfNormalExtension