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'Galois is not transitive'
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| Title of object: |
Galois is not transitive |
| Canonical Name: |
GaloisIsNotTransitive |
| Type: |
Result |
| Created on: |
2006-06-15 02:44:31 |
| Modified on: |
2006-06-15 02:44:31 |
| Classification: |
msc:12F10 |
Preamble:
% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.
% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}
% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}
% there are many more packages, add them here as you need them
% define commands here
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Content:
| Note that, if $K/F$ and $L/K$ are \PMlinkname{Galois extenions}{GaloisExtension}, it does not follow that $L/F$ is Galois. This follows immediately from the fact that normal is not transitive. |
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