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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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/

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