Cyclic Group
A group is cyclic if for some ; such a is a generator.
Examples
The group is cyclic with generator , and is cyclic with generator . The group is cyclic because .
Related
Stated in
- Definition 2.11 (Cyclic Group)§2.2 Cyclic Groups

Cyclic Group
A group is cyclic if for some ; such a is a generator.
The group is cyclic with generator , and is cyclic with generator . The group is cyclic because .