A note on lifting of Carnot groups
Andrea Bonfiglioli
Università di Bologna, ItalyFrancesco Uguzzoni
Università di Bologna, Italy
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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.
Cite this article
Andrea Bonfiglioli, Francesco Uguzzoni, A note on lifting of Carnot groups. Rev. Mat. Iberoam. 21 (2005), no. 3, pp. 1013–1035
DOI 10.4171/RMI/443