In algebra, a **cyclic group** is a group that is generated by a single element, in the sense that every element of the group can be written as a power of some particular element *g* in multiplicative notation, or as a multiple of *g* in additive notation. This element *g* is called a "generator" of the group. Any infinite cyclic group is isomorphic to **Z**, the integers with addition as the group operation. Any finite cyclic group of order *n* is isomorphic to **Z**/*n***Z**, the integers modulo n with addition as the group operation.

Read more about Cyclic Group: Definition, Properties, Examples, Representation, Subgroups and Notation, Endomorphisms, Virtually Cyclic Groups

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