Groupprops, The Group Properties Wiki (pre-alpha)

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From Groupprops

Contents 1 Definition 2 Relation with other metaproperties 2.1 Stronger metaproperties

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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

Definition

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

• Subgroup-closed group property
• Normal subgroup-closed group property