Ladawan:Braid-modular-group-cover.svg

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Sumaryo

Pagladawan
English: Commutative diagram showing the braid group B3 as the universal central extension of the modular group, sitting as lattices inside SL2(R) and its universal cover.
Petsa
Pinagkunan Own work, created as per: en:meta:Help:Displaying a formula#Commutative diagrams; source code below.
Kagsurat Nils R. Barth
Pagtugot
(Giraray na paggamit sa file)
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.

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
\DeclareMathOperator{\SL}{SL}
\DeclareMathOperator{\PSL}{PSL}
\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@R=6pt{
  & B_3  \ar@{->>}[r]  \ar@{^(->}[dd]
  & \PSL_2(\mathbf{Z}) \ar@{^(->}[dd]\\
\mathbf{Z} \ar@{_(->}@/^/[ur] \ar@{^(->}@/_/[dr] \\
  & \overline{\SL_2(\mathbf{R})} \ar@{->>}[r]
  & \PSL_2(\mathbf{R})
}

$$}}} % end math, end frame
\end{document}

Paglisensya

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.

Captions

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depicts English

inception English

7 Mayo 2009

MIME type English

image/svg+xml

checksum English

d3e2eac04b50c80d7a406042123673469e435fa0

determination method English: SHA-1 English

data size English

27,584 byte

height English

153 pixel

width English

376 pixel

Kasaysayan kan file

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Petsa/OrasThumbnailSukolParagamitKomento
presente16:19, 7 Mayo 2009Thumbnail para sa bersyon kaitong 16:19, 7 Mayo 2009376 × 153 (27 KB)NbarthFix conversion typo – add overline.
16:10, 7 Mayo 2009Thumbnail para sa bersyon kaitong 16:10, 7 Mayo 2009376 × 153 (27 KB)Nbarth{{Information |Description = {{en|Commutative diagram showing the braid group ''B''<sub>3</sub> as the universal central extension of the modular group, sitting as lattices inside [[:en

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