File:First isomorphism theorem (plain).svg
LaTeX source
\documentclass{amsart}
\usepackage{amsmath,amssymb,nopageno}
\usepackage[all]{xy}
\DeclareMathOperator{\Ker}{ker}
\begin{document}
\begin{equation*}
\xymatrix@C+1em@R+1em{
G \ar[r]^-{f} \ar[d]_-{\pi} & H \\
G/\Ker(f) \ar@{-->}[ur]_-{\tilde{f}}
}
\end{equation*}
\end{document}
Summary
| Description | The commutative diagram expressing the "first isomorphism theorem". It does not indicate which arrows are injective or surjective. |
| Date | |
| Source | I created this work entirely by myself. |
| Author | Ryan Reich (talk) |
| Other versions | w:File:First isomorphism theorem (plain).svg, File:First isomorphism theorem.png |
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Licensing
 |
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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