File:First isomorphism theorem (plain).svg
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Size of this PNG preview of this SVG file: 113 × 80 pixels. Other resolutions: 320 × 227 pixels | 640 × 453 pixels | 1,024 × 725 pixels | 1,280 × 906 pixels | 2,560 × 1,812 pixels.
Original file (SVG file, nominally 113 × 80 pixels, file size: 21 KB)
.svg){kind=link}
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 |
.svg){kind=link}
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. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 07:42, 14 January 2009 | | 113 × 80 (21 KB) | wikimediacommons>Ryan Reich | == LaTeX source == <pre> \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@ |
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.svg){kind=link}