File:An-Sn-covering-groups.svg
Summary
| 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
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
Nils R. Barth, the copyright holder of this work, hereby publishes it under the following license:
 |
This work has been released into the public domain by its author, Nils R. Barth. This applies worldwide. In some countries this may not be legally possible; if so: Nils R. Barth grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
Licensing
  |
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.
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