On lattices of maximal index two
Number Theory
2008-06-05 v1
Abstract
The maximal index of a Euclidean lattice L of dimension n is the maximal index of the sub-lattices of L spanned by n independent minimal vectors of L. In this paper, we prove that a perfect lattice of maximal index two not provided by a cross-section has dimension at most 5.
Keywords
Cite
@article{arxiv.0806.0724,
title = {On lattices of maximal index two},
author = {Anne-Marie Bergé},
journal= {arXiv preprint arXiv:0806.0724},
year = {2008}
}
Comments
25 pages