UnimodularGroup2 2007-03-24 11:25:08 2008-02-05 22:02:16 Definition % 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 A locally compact Hausdorff topological group is said to be \emph{\PMlinkescapetext{unimodular}} if its left Haar measure is equal to its right Haar measure. A group is \PMlinkescapetext{unimodular} when its modular function is equal to 1. For example, an Abelian group or a compact group or discrete group is \PMlinkescapetext{unimodular}.