Category:Group properties obtained via the subgroup property collapse operator
From Groupprops
This category lists group properties obtained by collapsing two subgroup properties. In other words, a group has the given group property if every subgroup satisfying one subgroup property also satisfies the second subgroup property.
Pages in category "Group properties obtained via the subgroup property collapse operator"
The following 22 pages are in this category, out of 22 total. The count includes redirect pages that have been included in the category. Redirect pages are shown in italics.
G
- Gaschütz group
- Group in which every automorph-conjugate subgroup is characteristic
- Group in which every characteristic subgroup is fully invariant
- Group in which every characteristic subgroup is strictly characteristic
- Group in which every cyclic subgroup is 2-subnormal
- Group in which every finite abelian subgroup is cyclic
- Group in which every finite subgroup is cyclic
- Group in which every fully invariant subgroup is verbal
- Group in which every normal subgroup is a central factor
- Group in which every normal subgroup is a direct factor
- Group in which every normal subgroup is characteristic
- Group in which every normal subgroup is fully invariant
- Group in which every permutable subgroup is normal
- Group in which every pronormal subgroup is normal
- Group in which every retract is a direct factor
- Group in which every retract is regular
- Group in which every subgroup is automorph-conjugate
- Group in which every subnormal subgroup is 2-subnormal
- Group in which every weakly abnormal subgroup is abnormal
