Join-transitively finite subgroup

Definition
A subgroup $$H$$ of a group $$G$$ is termed a join-transitively finite subgroup if its join with any finite subgroup is finite.

Stronger properties

 * Weaker than::Finite permutable subgroup
 * Weaker than::Finite normal subgroup
 * Weaker than::Finite elliptic subgroup

Weaker properties

 * Stronger than::Finite subgroup