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In mathematics, specifically group theory, the identity component of a group G refers to several closely related notions of the largest connected subgroup of G containing the identity element. In point set topology, the identity component of a topological group G is the connected component G0 of G that contains the identity element of the group. The identity path component of a topological group G is the path component of G that contains the identity element of the group.

Attributes	Values
rdf:type	yago:WikicatLieGroups yago:WikicatTopologicalGroups yago:Abstraction100002137 yago:Group100031264 device
rdfs:label	Zusammenhangskomponente der Eins (de) Identity component (en) Składowa jedynki (pl)
rdfs:comment	Die Zusammenhangskomponente der Eins ist ein Begriff aus der Theorie der topologischen Gruppen, der in Mathematik und Physik besonders in der Theorie der Lie-Gruppen Anwendung findet. (de) Składowa jedynki – dla danej grupy topologicznej składowa spójności zawierająca jedynkę grupy. Podobnie drogowa składowa jedynki grupy topologicznej jest drogowa składowa spójności grupy zawiera element neutralny grupy. (pl) In mathematics, specifically group theory, the identity component of a group G refers to several closely related notions of the largest connected subgroup of G containing the identity element. In point set topology, the identity component of a topological group G is the connected component G0 of G that contains the identity element of the group. The identity path component of a topological group G is the path component of G that contains the identity element of the group. (en)
dcterms:subject	Topological groups Lie groups
Wikipage page ID	1088787 (xsd:integer)
Wikipage revision ID	1076999163 (xsd:integer)
Link from a Wikipage to another Wikipage	Prime ideal Root of unity Algebraic group Lie group Totally disconnected group Connected component (topology) Mathematics General linear group Normal subgroup Quotient group Glossary of algebraic geometry Connected space Clopen set Closed set Identity element Automorphism Topological groups Topological group Local field Algebraic geometry Lie groups Fiber (mathematics) P-adic number Centralizer and normalizer Discrete group Group (mathematics) Characteristic subgroup Homotopy group Maximal torus Reductive group Point set topology Split-complex number Springer Science+Business Media Group scheme Group theory Group of units Open set Klein four-group Morphism of schemes Locally path-connected space Zariski topology Topological ring Finite group Weyl group Affine algebraic group Lev Semenovich Pontryagin Continuous map (topology) Path-connected Path component
Link from a Wikipage to an external page	https://webusers.imj-prg.fr/~patrick.polo/SGA3/
sameAs	Identity component Identity component Identity component Identity component Identity component Identity component
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Cite_book dbt:No_footnotes dbt:Ref_begin dbt:Ref_end dbt:Reflist dbt:Short_description
has abstract	Die Zusammenhangskomponente der Eins ist ein Begriff aus der Theorie der topologischen Gruppen, der in Mathematik und Physik besonders in der Theorie der Lie-Gruppen Anwendung findet. (de) In mathematics, specifically group theory, the identity component of a group G refers to several closely related notions of the largest connected subgroup of G containing the identity element. In point set topology, the identity component of a topological group G is the connected component G0 of G that contains the identity element of the group. The identity path component of a topological group G is the path component of G that contains the identity element of the group. In algebraic geometry, the identity component of an algebraic group G over a field k is the identity component of the underlying topological space. The identity component of a group scheme G over a base scheme S is, roughly speaking, the group scheme G0 whose fiber over the point s of S is the connected component (Gs)0 of the fiber Gs, an algebraic group. (en) Składowa jedynki – dla danej grupy topologicznej składowa spójności zawierająca jedynkę grupy. Podobnie drogowa składowa jedynki grupy topologicznej jest drogowa składowa spójności grupy zawiera element neutralny grupy. (pl)
gold:hypernym	G
prov:wasDerivedFrom	wikipedia-en:Identity_component?oldid=1076999163&ns=0
page length (characters) of wiki page	7261 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Identity_component
is Link from a Wikipage to another Wikipage of	Schwarz's list Indefinite orthogonal group Index group Lie group General linear group Generalized dihedral group Orientation (vector space) Möbius transformation Lorentz group Compact group Spin group Topological group Linear algebraic group Adjoint representation Diffeomorphism

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