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Viewing Preamble for example of groups of order pq

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% this is the default PlanetMath preamble. as your knowledge
% of TeX increases, you will probably want to edit this, but
% it should be fine as is for beginners.

% almost certainly you want these
\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

% used for TeXing text within eps files
%\usepackage{psfrag}
% need this for including graphics (\includegraphics)
%\usepackage{graphicx}
% for neatly defining theorems and propositions
%\usepackage{amsthm}
% making logically defined graphics
%\usepackage{xypic}

% there are many more packages, add them here as you need them

% define commands here
\newcommand{\norm}[1]{\left\Vert#1\right\Vert}
\newcommand{\abs}[1]{\left\vert#1\right\vert}
\newcommand{\inn}[1]{\langle#1\rangle}
\newcommand{\set}[1]{\{#1\}}
\newcommand{\Integer}{\mathbb{Z}}
\newcommand{\Rational}{\mathbb{Q}}
\newcommand{\Real}{\mathbb{R}}
\newcommand{\Complex}{\mathbb{C}}
\newcommand{\Field}{\mathbb{F}}
\newcommand{\eps}{\varepsilon}
\newcommand{\Basis}{\mathscr{B}}
\newcommand{\CG}{\Complex G}
\newcommand{\Mn}{\mathcal{M}}
\newcommand{\GL}{\mathrm{GL}}
\newcommand{\SL}{\mathrm{SL}}
\newcommand{\Sn}{\mathrm{S}}
\newcommand{\Orbit}{\mathcal{O}}
\DeclareMathOperator{\Aut}{Aut} \DeclareMathOperator{\Inn}{Inn}
\DeclareMathOperator{\Sym}{Sym} \DeclareMathOperator{\Alt}{Alt}
\DeclareMathOperator{\tr}{tr} \DeclareMathOperator{\Stab}{Stab}
\DeclareMathOperator{\sgn}{sgn} \DeclareMathOperator{\Hom}{Hom}
\DeclareMathOperator{\End}{End} \DeclareMathOperator{\Res}{Res}
\DeclareMathOperator{\Ind}{Ind}