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/nZ, 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
Famous quotes containing the word group:
“The boys think they can all be athletes, and the girls think they can all be singers. That’s the way to fame and success. ...as a group blacks must give up their illusions.”
—Kristin Hunter (b. 1931)