Correct the definition of the italicized term without reference to the text, if correction is needed, so

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Correct the definition of the italicized term without reference to the text, if correction is needed, so that it is in a form acceptable for publication.

The left regular representation of a group G is the map of G into SG whose value at g ∈ G is the permutation of G that carries each x ∈ G into gx.

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