File:PSL-PGL.svg
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Original file (SVG file, nominally 491 × 254 pixels, file size: 70 KB)
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Summary
DescriptionPSL-PGL.svg |
English: Commutative diagram showing the projective linear groups (special and general) and their relations |
Date | |
Source | Own work, created as per: en:meta:Help:Displaying a formula#Commutative diagrams; source code below. |
Author | Nils R. Barth |
LaTeX source
\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}
\thispagestyle{empty} % No page numbers
\SelectTips{eu}{} % Euler arrowheads (tips)
\setlength{\fboxsep}{0pt} % Frame box margin
{\color{white}\framebox{{\color{black}$$ % Frame for margin
\xymatrix{
\mathrm{SZ}(V) \ar@{^(->}[r] \ar@{^(->}[d]
& \mathrm{Z}(V)\cong F^* \ar@{->>}[r]^(.6){\det \cong z^n} \ar@{^(->}[d]
& (F^*)^n \ar@{^(->}[d] \\
\mathrm{SL}(V) \ar@{^(->}[r] \ar@{->>}[d]
& \mathrm{GL}(V) \ar@{->>}[r]^{\det} \ar@{->>}[d]
& F^* \ar@{->>}[d] \\
\mathrm{PSL}(V) \ar@{^(->}[r]
& \mathrm{PGL}(V) \ar@{->>}[r]
& F^*/(F^*)^n
}
$$}}} % end math, end frame
\end{document}
Licensing
Nils R. Barth, the copyright holder of this work, hereby publishes it under the following license:
Public domainPublic domainfalsefalse |
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. |
Items portrayed in this file
depicts
some value
7 May 2009
image/svg+xml
File history
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 18:19, 7 May 2009 | 491 × 254 (70 KB) | Nbarth | {{Information |Description = {{en|Commutative diagram showing the projective linear groups (special and general) and their relations }} |Source=Own work, created as per: [[:en:meta:Help:Displayin |
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