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'first isomorphism theorem'
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| Title of object: |
first isomorphism theorem |
| Canonical Name: |
FirstIsomorphismTheorem |
| Type: |
Theorem |
| Created on: |
2001-12-21 03:27:55 |
| Modified on: |
2005-01-02 14:50:26 |
| Classification: |
msc:20A05, msc:13A15 |
Revision comment (for changes between this and next version):
| Changes for correction #6433 ('symbol'). |
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 |
Content:
| If $f : G\to H$ is a homomorphism of groups (or rings, or modules), then it induces an isomorphism $G/\ker f \approx {\rm im} f$. |
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