Lattices of Finite Abelian Groups

被引：0
|
作者：
Ladisch, Frieder [1 ]
机构：
[1] Univ Rostock, Inst Math, D-18051 Rostock, Germany
来源：
DISCRETE & COMPUTATIONAL GEOMETRY | 2021年 / 65卷 / 03期
关键词：
Eutactic lattice; Minimal vectors; Finite abelian group; ELLIPTIC-CURVES; PERFECT; UNITS;
D O I：
10.1007/s00454-019-00163-1
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We study certain lattices constructed from finite abelian groups. We show that such a lattice is eutactic, thereby confirming a conjecture by Bottcher, Eisenbarth, Fukshansky, Garcia, Maharaj. Our methods also yield simpler proofs of two known results: First, such a lattice is strongly eutactic if and only if the abelian group has odd order or is elementary abelian. Second, such a lattice has a basis of minimal vectors, except for the cyclic group of order 4.
引用
收藏
页码：938 / 951
页数：14
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