Every finite group is a subgroup of a finite 2-generated group
This article gives the statement, and possibly proof, of an embeddability theorem: a result that states that any group of a certain kind can be embedded in a group of a more restricted kind.
View a complete list of embeddability theorems
- Every finite group is a subgroup of a finite symmetric group
- Symmetric group on a finite set is 2-generated
The proof follows by piecing together facts (1) and (2).