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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.

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  • Zusammenhangskomponente der Eins
  • Identity component
  • Składowa jedynki
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  • 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.
  • 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.
  • 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.
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  • 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.
  • 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.
  • 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.
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