About: Hall subgroup

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In mathematics, specifically group theory, a Hall subgroup of a finite group G is a subgroup whose order is coprime to its index. They were introduced by the group theorist Philip Hall.

Attributes	Values
rdf:type	yago:WikicatSolvableGroups yago:WikicatSubgroupProperties yago:Abstraction100002137 yago:Group100031264 yago:Possession100032613 yago:Property113244109 yago:Relation100031921 ethnic group yago:WikicatFiniteGroups
rdfs:label	Hallsche Untergruppe (de) Hall subgroup (en) Sous-groupe de Hall (fr) 쉴로브 기저 (ko) ホール部分群 (ja) Hall-delgrupp (sv)
rdfs:comment	Unter einer hallschen Untergruppe versteht man in der Gruppentheorie, einem Teilgebiet der Algebra, eine Untergruppe einer endlichen Gruppe, deren Mächtigkeit teilerfremd zu ihrem Index ist. Sie sind benannt nach dem britischen Mathematiker Philip Hall. (de) In mathematics, specifically group theory, a Hall subgroup of a finite group G is a subgroup whose order is coprime to its index. They were introduced by the group theorist Philip Hall. (en) En théorie des groupes (une branche des mathématiques), les sous-groupes de Hall d'un groupe fini sont les sous-groupes dont l'ordre et l'indice sont premiers entre eux. Ils portent le nom du mathématicien Philip Hall. (fr) 군론에서 쉴로브 기저(Sylow基底, 영어: Sylow basis)는 어떤 군 속의, 서로 (집합으로서) 가환하는, 각 소수에 대한 쉴로브 부분군들의 족이다. 쉴로브 기저의 존재는 유한군이 가해군인 것과 동치이며, 만약 존재한다면 쉴로브 기저는 켤레 아래 유일하다. (ko) 数学における有限群 G のホール部分群（ホールぶぶんぐん、英: Hall subgroup）は、その位数がその指数と互いに素な部分群を言う。群論学者が導入した。 (ja) Inom matematiken är en Hall-delgrupp av en ändlig grupp G en delgrupp vars ordning är relativt prim till dess . De introducerades av gruppteoretikern. (sv)
dcterms:subject	Finite groups Solvable groups Subgroup properties
Wikipage page ID	1735335 (xsd:integer)
Wikipage revision ID	1080248612 (xsd:integer)
Link from a Wikipage to another Wikipage	Prime power Index of a subgroup Conjugate subgroups Mathematical induction Mathematics Normal subgroup Simple group Conjugacy class Converse (logic) Complement (group theory) Subgroup Divisor Alternating group Finite groups Formation (group theory) Mathematical proof Group (mathematics) Intersection (set theory) Prime number Solvable groups Subgroup properties Sylow subgroup Schur–Zassenhaus theorem Dihedral group Burnside's theorem Coprime Group isomorphism Group theory Integer Order (group theory) Semidirect product Solvable group Unitary divisor Journal of the London Mathematical Society Finite group Elementary abelian Normalizer Sylow's theorem Divisible Minimal normal subgroup Outer automorphism
sameAs	Hall subgroup Hall subgroup Hall subgroup Hall subgroup Hall subgroup Hall subgroup Hall subgroup Hall subgroup Hall subgroup
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Harvtxt dbt:Redirect dbt:Harvs dbt:Group_theory_sidebar
authorlink	Philip Hall (en)
first	Philip (en)
last	Hall (en)
year	1928 (xsd:integer)
has abstract	Unter einer hallschen Untergruppe versteht man in der Gruppentheorie, einem Teilgebiet der Algebra, eine Untergruppe einer endlichen Gruppe, deren Mächtigkeit teilerfremd zu ihrem Index ist. Sie sind benannt nach dem britischen Mathematiker Philip Hall. (de) In mathematics, specifically group theory, a Hall subgroup of a finite group G is a subgroup whose order is coprime to its index. They were introduced by the group theorist Philip Hall. (en) En théorie des groupes (une branche des mathématiques), les sous-groupes de Hall d'un groupe fini sont les sous-groupes dont l'ordre et l'indice sont premiers entre eux. Ils portent le nom du mathématicien Philip Hall. (fr) 군론에서 쉴로브 기저(Sylow基底, 영어: Sylow basis)는 어떤 군 속의, 서로 (집합으로서) 가환하는, 각 소수에 대한 쉴로브 부분군들의 족이다. 쉴로브 기저의 존재는 유한군이 가해군인 것과 동치이며, 만약 존재한다면 쉴로브 기저는 켤레 아래 유일하다. (ko) 数学における有限群 G のホール部分群（ホールぶぶんぐん、英: Hall subgroup）は、その位数がその指数と互いに素な部分群を言う。群論学者が導入した。 (ja) Inom matematiken är en Hall-delgrupp av en ändlig grupp G en delgrupp vars ordning är relativt prim till dess . De introducerades av gruppteoretikern. (sv)
gold:hypernym	Subgroup
prov:wasDerivedFrom	wikipedia-en:Hall_subgroup?oldid=1080248612&ns=0
page length (characters) of wiki page	5980 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Hall_subgroup
is Link from a Wikipage to another Wikipage of	List of group theory topics Sylow system Complement (group theory) T-group (mathematics) Feit–Thompson theorem

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