Category:Definitions/Finite Cyclic Groups
Jump to navigation
Jump to search
This category contains definitions related to Finite Cyclic Groups.
Related results can be found in Category:Finite Cyclic Groups.
Definition 1
Let $\struct {G, \circ}$ be a cyclic group.
Then $\struct {G, \circ}$ is a finite cyclic group if and only if it is a finite group.
Definition 2
Let $\struct {G, \circ}$ be a cyclic group generated by $a \in G$.
Then $\struct {G, \circ}$ is a finite cyclic group if and only if:
- $\exists n \in \N: a^n = e$
Pages in category "Definitions/Finite Cyclic Groups"
The following 4 pages are in this category, out of 4 total.