Volume versus rank of lattices

We show the rank (i.e. minimal size of a generating set) of lattices cannot grow faster than the volume.

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Bibliographic Details
Published in:Journal für die reine und angewandte Mathematik 2011-12, Vol.2011 (661), p.237-248
Main Author: Gelander, Tsachik
Format: Article
Language:English
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Description
Summary:We show the rank (i.e. minimal size of a generating set) of lattices cannot grow faster than the volume.
ISSN:0075-4102
1435-5345
DOI:10.1515/CRELLE.2011.085