Normal 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:Normal subgroup-closed group properties


A group property is termed normal subgroup-closed or hereditary to normal subgroups if it satisfies the following equivalent conditions:

Relation with other metaproperties

Stronger metaproperties

Weaker metaproperties