A reduction of Keller's conjecture

DOI10.1007/BF01848388zbMath0613.52006OpenAlexW1982475856WikidataQ56699797 ScholiaQ56699797MaRDI QIDQ1819376

Sándor Szabó

Publication date: 1986

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01848388

zbMATH Keywords

cube tilingKeller's conjecturefactorisations of finite abelian groups

Mathematics Subject Classification ID

Finite abelian groups (20K01) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (15)

Cube-tilings of \(\mathbb{R}^ n\) and nonlinear codes ⋮ Towards resolving Keller's cube tiling conjecture in dimension seven ⋮ A combinatorial approach for Keller's conjecture ⋮ Keller's conjecture for certain p-groups ⋮ Cube packings, second moment and holes ⋮ Keller’s cube-tiling conjecture is false in high dimensions ⋮ Rigid polyboxes and Keller's conjecture ⋮ Cube tiling and covering a complete graph ⋮ On Keller's conjecture in dimension seven ⋮ New results on torus cube packings and tilings ⋮ What is known about unit cubes ⋮ The resolution of Keller's conjecture ⋮ Varieties of mathematical understanding ⋮ The resolution of Keller's conjecture ⋮ Test case generators and computational results for the maximum clique problem

Cites Work

• On Keller's conjecture for certain cyclic groups
• A symmetric star body that tiles but not as a lattice

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