what are the generators of the cyclic group Z of integers?
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what are the generators of the cyclic group Z of integers?
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The set of integers Z, with the operation of addition, forms a group. It is an infinite cyclic group, because all integers can be written by repeatedly adding or subtracting the single number 1. In this group, 1 and −1 are the only generators. Every infinite cyclic group is isomorphic to Z.
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