Usually means: Set of transformations preserving symmetry.
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We found 5 dictionaries that define the word symmetry group:

General (2 matching dictionaries)
  1. symmetry group: Wiktionary
  2. Symmetry group (disambiguation), Symmetry group: Wikipedia, the Free Encyclopedia

Computing (1 matching dictionary)
  1. symmetry group: Encyclopedia

Science (2 matching dictionaries)
  1. Symmetry Group: Eric Weisstein's World of Mathematics
  2. symmetry group: PlanetMath Encyclopedia

Definitions from Wiktionary (symmetry group)

noun:  (geometry, algebra, group theory) A group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.

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