Subgroup-closed group property
This article defines a group metaproperty: a property that can be evaluated to true/false for any group property
View a complete list of group metaproperties
A group property is said to be subgroup-closed or S-closed if any subgroup of a group having the property also has the property.
Definition with symbols
A group property is said to be subgroup-closed or S-closed if whenever satisfies property and is a subgroup of , must also satisfy property .