On the algebraic form of Keller's conjecture
type: Item
instance of: scholarly article
title: On the algebraic form of Keller's conjecture
zbMATH Open document ID: 0738.20030
published in: Beiträge zur Algebra und Geometrie
publication date: 1992-06-26T00:00:00Z
review text: Keller conjectured that any tiling of \(R^n\) with translates of the unit cube contains a pair of cubes sharing an \((n-1)\)-face. The conjecture is still open. In 1949, \textit{G. Hajós} [Čas. Mat. Fys. 74, 157--162 (1950; Zbl 0039.01901)] transformed Keller's conjecture into a statement about factorizations of finite abelian groups. In the paper under review the authors give unified and simplified proofs for certain solved special cases of the statement.
reviewed by: Yongcai Ren
Mathematics Subject Classification ID: 20D60
Mathematics Subject Classification ID: 20K01
Mathematics Subject Classification ID: 52C22
Mathematics Subject Classification ID: 05B45
zbMATH DE Number: 24942
zbMATH Keywords: tiling
zbMATH Keywords: Keller's conjecture
zbMATH Keywords: factorizations of finite abelian groups
author: K. Corrádi
author: Sándor Szabó
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 24942