A reduction of Keller's conjecture-Reference-Cited by-同舟云学术

A reduction of Keller's conjecture

Published:1986-12 Issue:4 Volume:17 Page:265-277
ISSN:0031-5303
Container-title:Periodica Mathematica Hungarica
language:en
Short-container-title:Period Math Hung

Author:

Szabó S.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01848388.pdf

Reference7 articles.

1. G. Hajós, Über einfache und mehrfache Bedeckung desn-dimensionalen Raumes mit einem Würfelgitter,Math. Z. 47 (1941), 427–467.MR 3, 302

2. G. Hajós, Sur la factorisation des groupes abéliens,Časopis Pěst. Mat. Fys. 74 (1949), 157–162.MR 13, 623

3. O. H. Keller, Über die lückenlose Erfüllung des Raumes mit Würfeln,J. Reine Angew. Math. 163 (1930), 231–248.

4. A. D. Sands, On Keller's conjecture for certain cyclic groups,Proc. Edinburgh Math. Soc. 22 (1979), 17–21.MR 81c: 20013

5. K. Seitz,Investigations in the Hajós—Rédei theory of finite abelian groups, K. Marx University of Economics, Dept. Math., DM 75—6, Budapest, 1975.MR 53: 655

Cited by 15 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Measurable Tilings by Abelian Group Actions;International Mathematics Research Notices;2023-03-23

2. A Formalized Reduction of Keller’s Conjecture;Proceedings of the 12th ACM SIGPLAN International Conference on Certified Programs and Proofs;2023-01-11

3. The Resolution of Keller’s Conjecture;Journal of Automated Reasoning;2022-05-06

4. Towards resolving Keller’s cube tiling conjecture in dimension seven;Advances in Geometry;2022-03-04

5. The Resolution of Keller’s Conjecture;Automated Reasoning;2020