Subnormality testing problem

This article describes the subgroup property testing problem for the subgroup property: subnormal subgroup
A GAP command using the algorithms for this problem is available at: IsSubnormal
View other subgroup property testing problems

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.

Fixed-depth version

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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.