Core-free subnormal subgroup

Definition
A subgroup of a group is termed a core-free subnormal subgroup if it is both a core-free subgroup (i.e., its normal core is trivial) and a subnormal subgroup.

Stronger properties

 * Weaker than::Core-free permutable subnormal subgroup
 * Weaker than::Core-free 2-subnormal subgroup

Weaker properties

 * Stronger than::Subnormal subgroup
 * Stronger than::Core-free subgroup