File:Dicyclic-commutative-diagram.svg
Summary
| Description |
English: Commutative diagram demonstrating the dicyclic group as a binary polyhedral group (subgroup of Pin group), namely the binary dihedral group, and connections to the dihedral and binary cyclic groups. |
| Date | 26 November 2007 (original upload date) |
| Source |
Own work, produced as described at en:meta:Help:Displaying a formula#Commutative diagrams; source code below. Transferred from en.wikipedia; transferred to Commons by User:Nbarth using CommonsHelper. |
| Author | Nils R. Barth |
| Permission (Reusing this file) |
Released into the public domain by the author. |
TeX source
Produced as described at en:meta:Help:Displaying a formula#Commutative diagrams.
\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}$$ % Frame for margin
\xymatrix@=6pt{
&\{\pm 1\}
\ar@{^(->}@/_1pc/[ddl]_{a^n}
\ar@{_(->}@/^1pc/[ddr]^{a^n}
\\ \\
C_{2n} \ar@{->>}[dd] \ar@{^(->}[rr]
&&\operatorname{Dic}_n \ar@{->>}[dd] \ar@{->>}@/^1pc/[rrd]
\\
&& &&\{\pm 1\}
\\
C_n \ar@{^(->}[rr]
&&\operatorname{Dih}_n \ar@{->>}@/_1pc/[rru]
}
$$}}} % 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. |
Original upload log
The original description page was here. All following user names refer to en.wikipedia.
- 2007-11-26 23:42 Nbarth 357×232× (35406 bytes) Commutative diagram demonstrating the dicyclic group as a binary polyhedral group (subgroup of Pin group), and connections to dihedral and binary cyclic groups.