This Note gives an extension of Mahler's theorem on lattices in to simply connected nilpotent groups with a -structure. From this one gets an application to groups of Heisenberg type and a generalization of Hermite's inequality.
@article{RLIN_2005_9_16_4_265_0, author = {Martin Moskowitz}, title = {An extension of Mahler's theorem to simply connected nilpotent groups}, journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni}, volume = {16}, year = {2005}, pages = {265-270}, zbl = {1114.22008}, mrnumber = {2255009}, language = {en}, url = {http://dml.mathdoc.fr/item/RLIN_2005_9_16_4_265_0} }
Moskowitz, Martin. An extension of Mahler's theorem to simply connected nilpotent groups. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 16 (2005) pp. 265-270. http://gdmltest.u-ga.fr/item/RLIN_2005_9_16_4_265_0/
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