File:First-isomorphism-theorem.svg
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Summary
| Description |
English: Commutative diagram, showing the first isomorphism theorem. |
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| Date | 13 November 2008 (original upload date) | ||
| Source |
Created as per: en:meta:Help:Displaying a formula#Commutative diagrams \documentclass{amsart}
\usepackage[all, ps, dvips]{xy} % Loading the XY-Pic package
% Using postscript driver for smoother curves
\usepackage{color} % For invisible frame
\begin{document}
\newcommand{\im}{\operatorname{im}}
% \newcommand{\stack}[2]{\genfrac{}{}{0pt}{}{#1}{#2}}
\newcommand{\stack}[2]{\underset{#2}{#1}}
\thispagestyle{empty} % No page numbers
\SelectTips{eu}{} % Euler arrowheads (tips)
\setlength{\fboxsep}{0pt} % Frame box margin
{\color{white}\framebox{{\color{black}$$ % Frame for margin
\xymatrix @=1pt@! { %We want equal spacing, and the entries close together
& & 0 \ar[dr] & & 0\\
& & & \stack{G / \ker f}{\cong\;\im f} \ar[ur] \ar[dr]^{\iota} & \\
& & G \ar[rr]^{f} \ar[ur]^{\pi} & & H\\
& \ker f \ar[ur]^{\kappa}& & & \\
0\ar[ur] & & & &
}
$$}}} % end math, end frame
\end{document}
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| Author | Michael K. Edwards | ||
| Permission (Reusing this file) |
Michael K. Edwards, the copyright holder of this work, hereby publishes it under the following license:
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Licensing
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I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 03:10, 14 November 2008 | | 284 × 278 (32 KB) | wikimediacommons>Michael K. Edwards | {{Information |Description= |Source= |Date= |Author= |Permission= |other_versions= }} |
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