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algebra > group theory > symmetry group

Preferred term

symmetry group  

Definition

  • In group theory, the symmetry group of a geometric object is the group of all transformations under which the object is invariant, endowed with the group operation of composition. Such a transformation is an invertible mapping of the ambient space which takes the object to itself, and which preserves all the relevant structure of the object. A frequent notation for the symmetry group of an object X is G = Sym(X).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Symmetry_group)

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http://data.loterre.fr/ark:/67375/PSR-QFBRRZXR-Z

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