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.

Two group presentations are isomorphic if and only if there is a one-to-one correspondence of the generators of the first presentation with the generators of the second that yields, by renaming generators, a one-to-one correspondence of the relators of the first presentation with those of the second.

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