Shrinking integer lattices. II
type: Item
instance of: scholarly article
title: Shrinking integer lattices. II
zbMATH Open document ID: 0771.11025
DOI: 10.1016/0022-4049(92)90090-3
author: Robin Chapman
published in: Journal of Pure and Applied Algebra
publication date: 1992-09-27T00:00:00Z
review text: [Part I (to appear).] The author considers sublattices of the integer lattice \(\mathbb{Z}^ k\) and asks for the maximal integer \(r\) such that there is a sublattice \(\Lambda'\subset\mathbb{Z}^ k\) isometric to \(r^{- 1/2}\Lambda\), where \(\Lambda\) is a given sublattice of rank \(k\) of \(\mathbb{Z}^ k\). The author gives the solution for \(k\leq 7\) and for \(k=8\) up to a factor 2.
Mathematics Subject Classification ID: 11H06
Mathematics Subject Classification ID: 52C07
zbMATH DE Number: 60678
zbMATH Keywords: isometry
zbMATH Keywords: sublattices
zbMATH Keywords: integer lattice
Wikidata QID: Q57926037
reviewed by: Jörg M. Wills
MaRDI profile type: Publication
full work available at URL: 0022-4049(92)90090-3
OpenAlex ID: W2076544940
cites work: Q4177654
cites work: Q4108256
cites work: Q4039784
cites work: Shrinking Lattice Polyhedra
cites work: Q3293461
cites work: Q5670687
description: scientific article; zbMATH DE number 60678