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- $\exists g \in G: \forall h \in G: h = g^n$
for some $n \in \Z$.
This category has the following 17 subcategories, out of 17 total.
- Group of Order p q is Cyclic (4 P)
- Prime Groups (1 C, 11 P)
Pages in category "Cyclic Groups"
The following 54 pages are in this category, out of 54 total.
- 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 of Order 15 is Cyclic Group
- Group of Order 35 is Cyclic Group
- Group of Order p q is Cyclic
- Group Presentation of Cyclic Group
- Group whose Order equals Order of Element is Cyclic
- Groups of Order 2p