File:First isomorphism theorem (plain).svg

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Original file (SVG file, nominally 113 × 80 pixels, file size: 21 KB)

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LaTeX source

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\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

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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

Licensing

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Public domain 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/TimeThumbnailDimensionsUserComment
current05:42, 14 January 2009Thumbnail for version as of 05:42, 14 January 2009113 × 80 (21 KB)Ryan Reich (talk | contribs)== 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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