Abstract
We show the rank (i.e. minimal size of a generating set) of lattices cannot grow faster than the volume.
Received: 2010-02-28
Published Online: 2011-December
Published in Print: 2011-December
Walter de Gruyter Berlin New York 2011
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Articles in the same Issue
- On the cyclotomic main conjecture for the prime 2
- Some consequences of Arthur's conjectures for special orthogonal even groups
- Cartier modules: Finiteness results
- RiemannHilbert problem for Hurwitz Frobenius manifolds: Regular singularities
- Prime factors of dynamical sequences
- Enriques manifolds
- Volume versus rank of lattices
Articles in the same Issue
- On the cyclotomic main conjecture for the prime 2
- Some consequences of Arthur's conjectures for special orthogonal even groups
- Cartier modules: Finiteness results
- RiemannHilbert problem for Hurwitz Frobenius manifolds: Regular singularities
- Prime factors of dynamical sequences
- Enriques manifolds
- Volume versus rank of lattices