Intersection-transitively automorph-conjugate subgroup

From Groupprops
Jump to: navigation, search
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]


Symbol-free definition

A subgroup of a group is termed intersection-transitively automorph-conjugate if its intersection with any automorph-conjugate subgroup is again automorph-conjugate.


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

Stronger properties

Weaker properties



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