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.
Let ∅ : G → G' be a homomorphism of groups. The kernel of ∅ is {x ∈ G |∅(x) = e'} where e' is the identity in G'.
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