Category:Finite Cyclic Groups
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This category contains results about Finite Cyclic Groups.
Definitions specific to this category can be found in Definitions/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:
- $\exists n \in \N: a^n = e$
Subcategories
This category has the following 5 subcategories, out of 5 total.
Pages in category "Finite Cyclic Groups"
The following 11 pages are in this category, out of 11 total.