Classification of a Class of Nonrigid Carnot Groups
Journal of Lie theory, Tome 25 (2015) no. 3, pp. 717-732
We classify up to isomorphism a class of nonrigid Carnot groups. As an application we obtain a quasiisometric classification of a class of finitely generated nilpotent groups. We also identify all C2 quasiconformal maps of these nonrigid Carnot groups.
Classification :
22E25, 20F65, 30C65
Mots-clés : Nonrigid Carnot groups, complex Heisenberg product groups
Mots-clés : Nonrigid Carnot groups, complex Heisenberg product groups
@article{JLT_2015_25_3_JLT_2015_25_3_a3,
author = {M. R. Hughes and M. D. Staic and X. Xie},
title = {Classification of a {Class} of {Nonrigid} {Carnot} {Groups}},
journal = {Journal of Lie theory},
pages = {717--732},
year = {2015},
volume = {25},
number = {3},
url = {http://geodesic.mathdoc.fr/item/JLT_2015_25_3_JLT_2015_25_3_a3/}
}
M. R. Hughes; M. D. Staic; X. Xie. Classification of a Class of Nonrigid Carnot Groups. Journal of Lie theory, Tome 25 (2015) no. 3, pp. 717-732. http://geodesic.mathdoc.fr/item/JLT_2015_25_3_JLT_2015_25_3_a3/