Characteristic core-closed subgroup property
This article defines a subgroup metaproperty: a property that can be evaluated to true/false for any subgroup property
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VIEW RELATED: subgroup metaproperty satisfactions| subgroup metaproperty dissatisfactions
A subgroup property is said to be characteristic core-closed if whenever a subgroup has the proeprty in the whole group, so does its characteristic core (viz the largest characteristic subgroup contained inside it).
Definition with symbols
A subgroup property is said to be characteristic core-closed if whenever satisfies property in , and is the characteristic core of , satisfies property in .