Open main menu

Groupprops β

Finite-relative-intersection-closed subgroup property

Definition

A subgroup property p is termed finite-relative-intersection-closed if it satisfies the following:

Suppose H,K are subgroups of a group G such that H satisfies property p in G and K satisfies property p in some subgroup of G containing both H and K. Then, H \cap K satisfies property p in G.

Relation with other metaproperties

Facts