Geodesic
An extension of Mahler's theorem to simply connected nilpotent groups
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 16 (2005) no. 4, pp. 265-270

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This Note gives an extension of Mahler's theorem on lattices in $\mathbb{R}^{n}$ to simply connected nilpotent groups with a $Q$-structure. From this one gets an application to groups of Heisenberg type and a generalization of Hermite's inequality. 
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     author = {Moskowitz, Martin},
     title = {An extension of {Mahler's} theorem to simply connected nilpotent groups},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {265--270},
     publisher = {mathdoc},
     volume = {Ser. 9, 16},
     number = {4},
     year = {2005},
     zbl = {1114.22008},
     mrnumber = {MR2255009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2005_9_16_4_a4/}
}
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Moskowitz, Martin. An extension of Mahler's theorem to simply connected nilpotent groups. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 16 (2005) no. 4, pp. 265-270. http://geodesic.mathdoc.fr/item/RLIN_2005_9_16_4_a4/