File:An-Sn-covering-groups.svg
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Original file (SVG file, nominally 360 × 218 pixels, file size: 230 KB)
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Summary[edit]
| Description |
English: Commutative diagram connecting the covering groups of the alternating and symmetric groups. |
| Date | |
| Source | Own work by Nils R. Barth. |
| Author | Nils R. Barth |
| Permission (Reusing this file) |
Released into the public domain (by the author). |
TeX source[edit]
TeX source, produced as detailed at meta:Help:Displaying a formula#Commutative diagrams.
\documentclass{amsart}
\usepackage[all, ps]{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}$$ % Frame for margin
\xymatrix@=6pt{
&\{\pm 1\}
\ar@{^(->}@/_1pc/[ddl]
\ar@{_(->}@/^1pc/[ddr]
\\ \\
2 \cdot A_n \ar@{->>}[dd] \ar@{^(->}[rr]
&&2 \cdot S_n^\pm \ar@{->>}[dd] \ar@{->>}@/^1pc/[rrd]
\\
&&
&&\{\pm 1\}
\\
A_n \ar@{^(->}[rr]
&&S_n
\ar@{->>}@/_1pc/[rru]^{\operatorname{sgn}}
}
$$}}} % end math, end frame
\end{document}
Licensing[edit]
Nils R. Barth, the copyright holder of this work, hereby publishes it under the following license:
|
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. |
Licensing[edit]
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
|
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 19:16, 19 November 2009 | | 360 × 218 (230 KB) | Nbarth (talk | contribs) | Bigger default size |
| 04:44, 18 November 2009 |  | 180 × 109 (187 KB) | Nbarth (talk | contribs) | {{Information |Description={{en|Commutative diagram connecting the en:covering groups of the alternating and symmetric groups.}} |Source=Own work by Nils R. Barth. |Date={{Date|2009|11|17}} |Author=Nils R. Barth |Permi |
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