Journal of Lie Theory 19 (2009), No. 3, 527--530
Copyright Heldermann Verlag 2009
The Lattice Subgroups Conjecture
Amira Ghorbel
Dept. of Mathematics, Faculty of Sciences at Sfax, Route Soukra -- B.P. 1171, 3000 Sfax, Tunisia
Amira.Ghorbel@fss.rnu.tn
Hatem Hamrouni
Dept. of Mathematics, Faculty of Sciences at Sfax, Route Soukra -- B.P. 1171, 3000 Sfax, Tunisia
hatemhhamrouni@voila.fr
It has been conjectured by L. Corwin and F. P. Greenleaf that if Γ is a lattice subgroup of a connected, simply connected nilpotent Lie group G then log(Γ) is a Lie ring. In this note we show that this conjecture holds.
Keywords: Nilpotent Lie group, discrete uniform subgroup, lattice subgroup, rational structure.
MSC: 22E40
[ Fulltext-pdf (221 KB)] for subscribers only.