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Original file (SVG file, nominally 357 × 232 pixels, file size: 35 KB)

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:
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.

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.

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26 November 2007

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Date/TimeThumbnailDimensionsUserComment
current14:51, 7 May 2009Thumbnail for version as of 14:51, 7 May 2009357 × 232 (35 KB)File Upload Bot (Magnus Manske) {{BotMoveToCommons|en.wikipedia|year={{subst:CURRENTYEAR}}|month={{subst:CURRENTMONTHNAME}}|day={{subst:CURRENTDAY}}}} {{Information |Description={{en|Commutative diagram demonstrating the dicyclic group as a binary polyhedral group (subgroup of Pin grou

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