Another type of group is called the cyclic group, which is a group generated by a single element. For example is a cyclic group because all of the elements in can be generated by by modular arithmetic. .
More formally let be a group and , is a cyclic group if ; does not mean exponentiation in that does not mean multiplied by , it means where can be addition or any defined binary operation. For example .
Another example is the group .
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