Subnormality testing problem

Definition
The subnormality testing problem refers to a general class of problems where a group is specified using a suitable group description rule, a subgroup is specified using a suitable subgroup description rule, and we need to determine whether the subgroup is a subnormal subgroup of the group.

Relation with other problems

 * Normal closure-finding problem is the problem to which the reduction is most direct.
 * Normality testing problem is a related problem.