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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