Characteristic subgroup-closed group property

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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
This article is about a general term. A list of important particular cases (instances) is available at Category:Characteristic subgroup-closed group properties


A group property is termed characteristic subgroup-closed if whenever a group satisfies the property, so does every characteristic subgroup of that group.

Relation with other metaproperties

Stronger metaproperties