
Journal of Lie Theory 19 (2009), No. 3, 527530 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 [ Fulltextpdf (221 KB)] for subscribers only. 