Discrete Cocompact Subgroups of the Generic Filiform Nilpotent Lie Groups
Journal of Lie theory, Tome 18 (2008) no. 1, pp. 1-16
The discrete cocompact subgroups of the generic filiform nilpotent Lie group with an arbitrary dimension are determined up to isomorphism. We close this paper with two examples in which we determine explicitly the discrete cocompact subgroups of the four dimensional and the five dimensional generic filiform nilpotent Lie groups.
Classification :
22E25, 22E40, 22E27
Mots-clés : Nilpotent Lie group, discrete subgroup, rational structure
Mots-clés : Nilpotent Lie group, discrete subgroup, rational structure
@article{JLT_2008_18_1_JLT_2008_18_1_a0,
author = {H. Hamrouni},
title = {Discrete {Cocompact} {Subgroups} of the {Generic} {Filiform} {Nilpotent} {Lie} {Groups}},
journal = {Journal of Lie theory},
pages = {1--16},
year = {2008},
volume = {18},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a0/}
}
H. Hamrouni. Discrete Cocompact Subgroups of the Generic Filiform Nilpotent Lie Groups. Journal of Lie theory, Tome 18 (2008) no. 1, pp. 1-16. http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a0/