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algebra > group theory > topological group > compact group

Preferred term

compact group  

Definition(s)

  • In mathematics, a compact (topological) group is a topological group whose topology realizes it as a compact topological space (when an element of the group is operated on, the result is also within the group). Compact groups are a natural generalization of finite groups with the discrete topology and have properties that carry over in significant fashion. Compact groups have a well-understood theory, in relation to group actions and representation theory.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Compact_group)

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http://data.loterre.fr/ark:/67375/PSR-GDLM5FRQ-8

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RDF/XML TURTLE JSON-LD Created 8/30/23, last modified 8/30/23