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A connected Lie group equals the square of the exponential image. (English) Zbl 1022.22005

The author provides a short structure theoretic proof for the fact that in a real connected Lie group any element can be written as the product of two elements in the exponential image. This fact has recently been established by Moskowitz and Sacksteder using methods borrowed from geometric control theory.

MSC:

22E15 General properties and structure of real Lie groups
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