Lattices of Finite Abelian Groups

被引：0
|
作者：
Frieder Ladisch
机构：
[1] Universität Rostock,Institut für Mathematik
来源：
Discrete & Computational Geometry | 2021年 / 65卷
关键词：
Eutactic lattice; Minimal vectors; Finite abelian group; Primary 11H31; Secondary 11H55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study certain lattices constructed from finite abelian groups. We show that such a lattice is eutactic, thereby confirming a conjecture by Böttcher, 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.
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页码：938 / 951
页数：13
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