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- Hajxc3xb3ss_theorem abstract "In group theory, Hajós's theorem states that if a finite abelian group is expressed as the Cartesian product of simplexes, that is, sets of the form {e,a,a2,...,as-1} where e is the identity element, then at least one of the factors is a subgroup. The theorem was proved by the Hungarian mathematician György Hajós in 1941 using group rings. Rédei later proved the statement when the factors are only required to contain the identity element and be of prime cardinality.An equivalent statement on homogeneous linear forms was originally conjectured by Hermann Minkowski. A consequence is Minkowski's conjecture on lattice tilings, which says that in any lattice tiling of space by cubes, there are two cubes that meet face to face. Keller's conjecture is the same conjecture for non-lattice tilings, which turns out to be false in high dimensions. Hajós's theorem was generalized by Tibor Szele.".
- Hajxc3xb3ss_theorem thumbnail Shifted_square_tiling.svg?width=300.
- Hajxc3xb3ss_theorem wikiPageExternalLink books?id=QOa-mnX5Y4QC.
- Hajxc3xb3ss_theorem wikiPageID "12200213".
- Hajxc3xb3ss_theorem wikiPageLength "2242".
- Hajxc3xb3ss_theorem wikiPageOutDegree "16".
- Hajxc3xb3ss_theorem wikiPageRevisionID "628364086".
- Hajxc3xb3ss_theorem wikiPageWikiLink Abelian_group.
- Hajxc3xb3ss_theorem wikiPageWikiLink American_Mathematical_Monthly.
- Hajxc3xb3ss_theorem wikiPageWikiLink Cartesian_product.
- Hajxc3xb3ss_theorem wikiPageWikiLink Category:Theorems_in_group_theory.
- Hajxc3xb3ss_theorem wikiPageWikiLink Group_ring.
- Hajxc3xb3ss_theorem wikiPageWikiLink Group_theory.
- Hajxc3xb3ss_theorem wikiPageWikiLink György_Hajós.
- Hajxc3xb3ss_theorem wikiPageWikiLink Hermann_Minkowski.
- Hajxc3xb3ss_theorem wikiPageWikiLink Kellers_conjecture.
- Hajxc3xb3ss_theorem wikiPageWikiLink László_Rédei.
- Hajxc3xb3ss_theorem wikiPageWikiLink Mathematical_Association_of_America.
- Hajxc3xb3ss_theorem wikiPageWikiLink Simplex.
- Hajxc3xb3ss_theorem wikiPageWikiLink Subgroup.
- Hajxc3xb3ss_theorem wikiPageWikiLink Tessellation.
- Hajxc3xb3ss_theorem wikiPageWikiLink Tibor_Szele.
- Hajxc3xb3ss_theorem wikiPageWikiLink File:Shifted_square_tiling.svg.
- Hajxc3xb3ss_theorem wikiPageWikiLinkText "Hajós's theorem".
- Hajxc3xb3ss_theorem wikiPageWikiLinkText "Minkowski lattice cube-tiling conjecture".
- Hajxc3xb3ss_theorem wikiPageUsesTemplate Template:Citation.
- Hajxc3xb3ss_theorem subject Category:Theorems_in_group_theory.
- Hajxc3xb3ss_theorem hypernym Sets.
- Hajxc3xb3ss_theorem type Train.
- Hajxc3xb3ss_theorem type Diacritic.
- Hajxc3xb3ss_theorem type Redirect.
- Hajxc3xb3ss_theorem type Theorem.
- Hajxc3xb3ss_theorem comment "In group theory, Hajós's theorem states that if a finite abelian group is expressed as the Cartesian product of simplexes, that is, sets of the form {e,a,a2,...,as-1} where e is the identity element, then at least one of the factors is a subgroup. The theorem was proved by the Hungarian mathematician György Hajós in 1941 using group rings.".
- Hajxc3xb3ss_theorem label "Hajós's theorem".
- Hajxc3xb3ss_theorem sameAs Q1177508.
- Hajxc3xb3ss_theorem sameAs Minkowski–Hajós-tétel.
- Hajxc3xb3ss_theorem sameAs m.02vvltn.
- Hajxc3xb3ss_theorem sameAs Q1177508.
- Hajxc3xb3ss_theorem wasDerivedFrom Hajxc3xb3ss_theorem?oldid=628364086.
- Hajxc3xb3ss_theorem depiction Shifted_square_tiling.svg.
- Hajxc3xb3ss_theorem isPrimaryTopicOf Hajxc3xb3ss_theorem.