Category:Cyclic Groups
This category contains results about Cyclic Groups.
The group $G$ is cyclic if and only if there exists $g \in G$ such that for every $h \in G$, $h = g^n$ for some integer $n$, where:
- $g^n$ is the $n$th power of $g$
Subcategories
This category has the following 6 subcategories, out of 6 total.
C
E
G
P
Q
S
Pages in category "Cyclic Groups"
The following 37 pages are in this category, out of 37 total.
C
E
F
G
- Generator of Cyclic Group is not Unique
- Generators of Additive Group of Integers
- Generators of Infinite Cyclic Group
- Group Direct Product of Cyclic Groups
- Group Direct Product of Cyclic Groups/Corollary
- Group Direct Product of Infinite Cyclic Groups
- Group whose Order equals Order of Element is Cyclic
