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July 11th, 2009, 01:20 AM  #1 
Newbie Joined: Jul 2009 Posts: 3 Thanks: 0  manifold
1)hi , please help me to prove that Let G be a connected lie group , and let U be a subset of G and be any neighborhood of the identity. Show that U generates G, i.e., that every element of G can be written as a finite product of elements of U. 

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