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On Surjectivity of the Power Maps of Solvable Lie Groups

✍ Scribed by Pralay Chatterjee

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 158 KB
Volume: 248
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9007

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✦ Synopsis

In this paper we study surjectivity of the map g → g n on an arbitrary connected solvable Lie group and describe certain necessary and sufficient conditions for surjectivity to hold. The results are applied also to study the exponential maps of the Lie groups.  2002 Elsevier Science (USA)

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