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

Managing Editor: Weissauer, Rainer
Ed. by Colding, Tobias / Cuntz, Joachim / Hwang, Jun-Muk
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1Einstein Institute of Mathematics, The Hebrew University, Jerusalem, 91904, Israel
Citation Information: Journal fr die reine und angewandte Mathematik (Crelles Journal). Volume 2011, Issue 661, Pages 237–248, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2011.085, December 2011
Publication History:
We show the rank (i.e. minimal size of a generating set) of lattices cannot grow faster than the volume.
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