Abstract
We prove that every homogeneous Carnot group can be lifted to a free homogeneous Carnot group. Though following the ideas of Rothschild and Stein, we give simple and self-contained arguments, providing a constructive proof, as shown in the examples.
Citation
Andrea Bonfiglioli. Francesco Uguzzoni. "A note on lifting of Carnot groups." Rev. Mat. Iberoamericana 21 (3) 1013 - 1035, December, 2005.
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