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Representation of Certain Lattices as Intervals in Subgroup Lattices

✍ Scribed by A. Lucchini

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
217 KB
Volume
164
Category
Article
ISSN
0021-8693

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Nonexistence of Extremal Lattices in Cer
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✍ Gabriele Nebe; Boris B. Venkov πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 353 KB

In this note we consider integral lattices 4 in euclidean space (R n , ,), i.e. 4 R n is the Z-span of an R-basis of R n with ,(4, 4) Z. The minimum of 4 is min[,(4, 4) | 0{\* # 4]. It is interesting to find lattices of given determinant or of given genus with large minimum. We prove the following