Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Cauchys_theorem_(group_theory)> ?p ?o }
Showing triples 1 to 69 of
69
with 100 triples per page.
- Cauchys_theorem_(group_theory) abstract "Cauchy's theorem is a theorem in the mathematics of group theory, named after Augustin Louis Cauchy. It states that if G is a finite group and p is a prime number dividing the order of G (the number of elements in G), then G contains an element of order p. That is, there is x in G so that p is the lowest non-zero number with xp = e, where e is the identity element.The theorem is related to Lagrange's theorem, which states that the order of any subgroup of a finite group G divides the order of G. Cauchy's theorem implies that for any prime divisor p of the order of G, there is a subgroup of G whose order is p—the cyclic group generated by the element in Cauchy's theorem.Cauchy's theorem is generalised by Sylow's first theorem, which implies that if pn is any prime power dividing the order of G, then G has a subgroup of order pn.".
- Cauchys_theorem_(group_theory) wikiPageID "2838129".
- Cauchys_theorem_(group_theory) wikiPageLength "6490".
- Cauchys_theorem_(group_theory) wikiPageOutDegree "32".
- Cauchys_theorem_(group_theory) wikiPageRevisionID "676950173".
- Cauchys_theorem_(group_theory) wikiPageWikiLink Abelian_group.
- Cauchys_theorem_(group_theory) wikiPageWikiLink American_Mathematical_Monthly.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Augustin-Louis_Cauchy.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Augustin_Louis_Cauchy.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Category:Articles_containing_proofs.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Category:Finite_groups.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Category:Theorems_in_group_theory.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Center_(group_theory).
- Cauchys_theorem_(group_theory) wikiPageWikiLink Centralizer.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Centralizer_and_normalizer.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Conjugacy_class.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Cyclic_group.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Finite_group.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Group_action.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Group_theory.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Identity_element.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Lagranges_theorem_(group_theory).
- Cauchys_theorem_(group_theory) wikiPageWikiLink Mathematical_induction.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Natural_number.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Orbit_stabilizer_theorem.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Order_(group_theory).
- Cauchys_theorem_(group_theory) wikiPageWikiLink P-group.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Prime_number.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Quotient_group.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Strong_induction.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Subgroup.
- Cauchys_theorem_(group_theory) wikiPageWikiLink Sylow_theorems.
- Cauchys_theorem_(group_theory) wikiPageWikiLinkText "Cauchy's theorem (group theory)".
- Cauchys_theorem_(group_theory) wikiPageWikiLinkText "Cauchy's theorem".
- Cauchys_theorem_(group_theory) hasPhotoCollection Cauchys_theorem_(group_theory).
- Cauchys_theorem_(group_theory) id "1569".
- Cauchys_theorem_(group_theory) id "2186".
- Cauchys_theorem_(group_theory) title "Cauchy's theorem".
- Cauchys_theorem_(group_theory) title "Proof of Cauchy's theorem".
- Cauchys_theorem_(group_theory) wikiPageUsesTemplate Template:For.
- Cauchys_theorem_(group_theory) wikiPageUsesTemplate Template:Nobreak.
- Cauchys_theorem_(group_theory) wikiPageUsesTemplate Template:Planetmath_reference.
- Cauchys_theorem_(group_theory) wikiPageUsesTemplate Template:Reflist.
- Cauchys_theorem_(group_theory) subject Category:Articles_containing_proofs.
- Cauchys_theorem_(group_theory) subject Category:Finite_groups.
- Cauchys_theorem_(group_theory) subject Category:Theorems_in_group_theory.
- Cauchys_theorem_(group_theory) hypernym Theorem.
- Cauchys_theorem_(group_theory) comment "Cauchy's theorem is a theorem in the mathematics of group theory, named after Augustin Louis Cauchy. It states that if G is a finite group and p is a prime number dividing the order of G (the number of elements in G), then G contains an element of order p.".
- Cauchys_theorem_(group_theory) label "Cauchy's theorem (group theory)".
- Cauchys_theorem_(group_theory) sameAs مبرهنة_كوشي_(نظرية_الزمر).
- Cauchys_theorem_(group_theory) sameAs Теорема_на_Коши.
- Cauchys_theorem_(group_theory) sameAs Satz_von_Cauchy_(Gruppentheorie).
- Cauchys_theorem_(group_theory) sameAs Teorema_de_Cauchy_(teoría_de_grupos).
- Cauchys_theorem_(group_theory) sameAs Théorème_de_Cauchy_(groupes).
- Cauchys_theorem_(group_theory) sameAs משפט_קושי_(תורת_החבורות).
- Cauchys_theorem_(group_theory) sameAs Teorema_di_Cauchy_(teoria_dei_gruppi).
- Cauchys_theorem_(group_theory) sameAs コーシーの定理_(群論).
- Cauchys_theorem_(group_theory) sameAs 코시의_정리_(군론).
- Cauchys_theorem_(group_theory) sameAs Stelling_van_Cauchy.
- Cauchys_theorem_(group_theory) sameAs Twierdzenie_Cauchyego_(teoria_grup).
- Cauchys_theorem_(group_theory) sameAs m.085yzh.
- Cauchys_theorem_(group_theory) sameAs Теорема_Коши_(теория_групп).
- Cauchys_theorem_(group_theory) sameAs Теорема_Коші_(теорія_груп).
- Cauchys_theorem_(group_theory) sameAs Định_lý_Cauchy_(lý_thuyết_nhóm).
- Cauchys_theorem_(group_theory) sameAs Q1139041.
- Cauchys_theorem_(group_theory) sameAs Q1139041.
- Cauchys_theorem_(group_theory) sameAs 柯西定理_(群論).
- Cauchys_theorem_(group_theory) wasDerivedFrom Cauchys_theorem_(group_theory)oldid=676950173.
- Cauchys_theorem_(group_theory) isPrimaryTopicOf Cauchys_theorem_(group_theory).