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November 23rd, 2013, 04:30 AM  #1 
Member Joined: Dec 2006 Posts: 90 Thanks: 0  Discrete subgroups of isometry group of euclidean space
We say that a subgroup S of G is discrete if and only if subset topology on S is discrete. For subgroups of isometry groups of euclidean space an equivalent condition is: intersection of the Sorbit of any x has finite intersection with any compact set. Why is there such the equivalent condition? 

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discrete, euclidean, group, isometry, space, subgroups 
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