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A Study on the Importance of Cyclic Group |

Mohinder, in Journal of Advances in Science and Technology | Science & Technology


A cyclic group is a group that isgenerated by a single element, in the sense that every element of the group canbe 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 thegroup operation. Any finite cyclic group of order n is isomorphic to Z/nZ, the integers modulo n with addition as the group operation.