Function restriction-expressible subgroup property
This article defines a subgroup metaproperty: a property that can be evaluated to true/false for any subgroup propertyTemplate:Mapping system terminology
View a complete list of subgroup metaproperties
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VIEW RELATED: subgroup metaproperty satisfactions| subgroup metaproperty dissatisfactions
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A subgroup property is said to be function restriction-expresssible if there exist function properties and such that has a restriction formal expression → with respect to the function restriction formalism. In other words, a subgroup satisfies in a group if and only if every function in satisfying property restricts to a function on satisfying property .
Relation with other metaproperties
- Invariance property: This is a subgroup property that can be expressed using the function restriction formalism with the right side being the property of just being a function.
- Balanced subgroup property: This is a subgroup property that can be expressed using the function restriction formalism with the left side and the right side being equal.
- Left-inner subgroup property
- Left-extensibility-stable subgroup property