Intersection-transitively automorph-conjugate subgroup
BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]
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]
In terms of the intersection-transiter
This property is obtained by applying the intersection-transiter to the property: automorph-conjugate subgroup
View other properties obtained by applying the intersection-transiter
Relation with other properties
- Characteristic subgroup: For proof of the implication, refer Characteristic implies intersection-transitively automorph-conjugate and for proof of its strictness (i.e. the reverse implication being false) refer Intersection-transitively automorph-conjugate not implies characteristic.
YES: This subgroup property is intersection-closed: an arbitrary (nonempty) intersection of subgroups with this property, also has this property.
ABOUT THIS PROPERTY: View variations of this property that are intersection-closed | View variations of this property that are not intersection-closed
ABOUT INTERSECTION-CLOSEDNESS: View all intersection-closed subgroup properties (or, strongly intersection-closed properties) | View all subgroup properties that are not intersection-closed | Read a survey article on proving intersection-closedness | Read a survey article on disproving intersection-closedness