Quotient-closed group property
This article defines a group metaproperty: a property that can be evaluated to true/false for any group property
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This article is about a definition in group theory that is standard among the group theory community (or sub-community that dabbles in such things) but is not very basic or common for people outside.
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A group property is said to be quotient-closed or Q-closed if any quotient of a group satisfying the property must also satisfy the property.
Definition with symbols