Right-transitively paranormal subgroup

Symbol-free definition
A subgroup of a group is termed right-transitively paranormal if every paranormal subgroup of the subgroup is paranormal in the whole group.

Definition with symbols
A subgroup $$H$$ of a group $$G$$ is termed right-transitively paranormal in $$G$$ if whenever $$K$$ is a paranormal subgroup of $$H$$, $$K$$ is also a paranormal subgroup of $$G$$.

Stronger properties

 * Weaker than::Direct factor
 * Weaker than::Central factor
 * Weaker than::SCAB-subgroup
 * Weaker than::Hereditarily normal subgroup
 * Weaker than::Hereditarily pronormal subgroup
 * Weaker than::Hereditarily paranormal subgroup

Weaker properties

 * Stronger than::Paranormal subgroup