Category:Definitions/Generators of Groups
Jump to navigation
Jump to search
This category contains definitions related to Generators of Groups.
Related results can be found in Category:Generators of Groups.
Let $\struct {G, \circ}$ be a group.
Let $S \subseteq G$.
Then $S$ is a generator of $G$, denoted $G = \gen S$, if and only if $G$ is the subgroup generated by $S$.
Subcategories
This category has the following 3 subcategories, out of 3 total.
G
Pages in category "Definitions/Generators of Groups"
The following 13 pages are in this category, out of 13 total.
G
- Definition:Generated Normal Subgroup
- Definition:Generated Subgroup
- Definition:Generating Set
- Definition:Generator of Cyclic Group
- Definition:Generator of Group
- Definition:Generator of Group/Also denoted as
- Definition:Generator of Group/Also known as
- Definition:Generator of Subgroup
- Definition:Generator of Subgroup/Definition by Predicate
- Definition:Group Presentation