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Groupprops β

Intersection-transitively permutable subgroup

Definition

A subgroup of a group is termed intersection-transitively permutable if its intersection with any permutable subgroup of the group is again permutable in the whole group.

Note that permutability is not finite-intersection-closed.

Formalisms

In terms of the intersection-transiter

This property is obtained by applying the intersection-transiter to the property: permutable subgroup
View other properties obtained by applying the intersection-transiter

Relation with other properties