Jump to content

File:First isomorphism theorem (plain).svg

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

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

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

Licensing

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.

Captions

Add a one-line explanation of what this file represents

Items portrayed in this file

depicts

inception

14 January 2009

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current05:42, 14 January 2009Thumbnail for version as of 05:42, 14 January 2009113 × 80 (21 KB)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@

The following 2 pages use this file:

Global file usage

The following other wikis use this file:

Retrieved from "https://en.wikipedia.org/wiki/File:First_isomorphism_theorem_(plain).svg"