Journal of Lie Theory

no. 1
Discrete Cocompact Subgroups of the Generic Filiform Nilpotent Lie Groups
Journal of Lie Theory, Volume 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.
DOI: 10.5802/jolt.478
Classification: 22E25, 22E40, 22E27
Keywords: Nilpotent Lie group, discrete subgroup, rational structure 
@article{JOLT_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},
     doi = {10.5802/jolt.478},
     zbl = {1151.22010},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.478/}
}
TY  - JOUR
AU  - H. Hamrouni
TI  - Discrete Cocompact Subgroups of the Generic Filiform Nilpotent Lie Groups
JO  - Journal of Lie Theory
PY  - 2008
SP  - 1
EP  - 16
VL  - 18
IS  - 1
UR  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.478/
DO  - 10.5802/jolt.478
ID  - JOLT_2008_18_1_a0
ER  - 
%0 Journal Article
%A H. Hamrouni
%T Discrete Cocompact Subgroups of the Generic Filiform Nilpotent Lie Groups
%J Journal of Lie Theory
%D 2008
%P 1-16
%V 18
%N 1
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.478/
%R 10.5802/jolt.478
%F JOLT_2008_18_1_a0
H. Hamrouni. Discrete Cocompact Subgroups of the Generic Filiform Nilpotent Lie Groups. Journal of Lie Theory, Volume 18 (2008) no. 1, pp. 1-16. doi: 10.5802/jolt.478

Cited by Sources: