Mathematics – Number Theory
Scientific paper
2008-06-04
Mathematics
Number Theory
25 pages
Scientific paper
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.
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