This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
Every subgroup is subnormal-to-normal iff the group is a T-group.
Relation with other properties
- Intermediately subnormal-to-normal subgroup
- Pronormal subgroup
- Weakly pronormal subgroup
- Contranormal subgroup
- Abnormal subgroup
- Weakly abnormal subgroup
- Paranormal subgroup
- Polynormal subgroup
Intermediate subgroup condition
YES: This subgroup property satisfies the intermediate subgroup condition: if a subgroup has the property in the whole group, it has the property in every intermediate subgroup.
ABOUT THIS PROPERTY: View variations of this property satisfying intermediate subgroup condition | View variations of this property not satisfying intermediate subgroup condition
ABOUT INTERMEDIATE SUBROUP CONDITION:View all properties satisfying intermediate subgroup condition | View facts about intermediate subgroup condition