Galois is not transitive
The phrase “Galois is not transitive” is a mnemonic for the statement “The relation
‘is a Galois extension
of’ is not transitive
.” This means that, if and are Galois extensions (http://planetmath.org/GaloisExtension), it does not follow that is Galois. This follows immediately from the fact that normal is not transitive. See example of normal extension
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 |