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July 11th, 2009, 12:20 AM   #1
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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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June 8th, 2010, 12:50 PM   #2
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A solution is given here (Exercise 8.1).
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