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:
“...Women’s Studies can amount simply to compensatory history; too often they fail to challenge the intellectual and political structures that must be challenged if women as a group are ever to come into collective, nonexclusionary freedom.”
—Adrienne Rich (b. 1929)