Category:Embeddability theorems
This category lists theorems that describe how a certain group (or type of group) can be embedded in another group (or type of group).
Pages in category "Embeddability theorems"
The following 13 pages are in this category, out of 13 total. The count includes redirect pages that have been included in the category. Redirect pages are shown in italics.
E
- Every finite group is a subgroup of a finite 2-generated group
- Every finite group is a subgroup of a finite simple non-abelian group
- Every finite solvable group is a subgroup of a finite group having subgroups of all orders dividing the group order
- Every group is a subgroup of a complete group
- Every group is a subgroup of a divisible group
- Every group is a subgroup of an acyclic group
- Every group of prime power order is a subgroup of a group of unipotent upper-triangular matrices
- Every group of prime power order is a subgroup of an iterated wreath product of groups of order p
- Every pi-torsion-free nilpotent group can be embedded in a unique minimal pi-powered nilpotent group
- Every torsion-free group is a subgroup of a simple torsion-free group
- Every torsion-free group is a subgroup of a torsion-free group with two conjugacy classes