Function restriction-expressible subgroup property

From Groupprops
Jump to: navigation, search
This article defines a subgroup metaproperty: a property that can be evaluated to true/false for any subgroup property
View a complete list of subgroup metaproperties
View subgroup properties satisfying this metaproperty| View subgroup properties dissatisfying this metaproperty
VIEW RELATED: subgroup metaproperty satisfactions| subgroup metaproperty dissatisfactions
Template:Mapping system terminology

BEWARE! This term is nonstandard and is being used locally within the wiki. [SHOW MORE]


Main definition

A subgroup property p is said to be function restriction-expresssible if there exist function properties a and b such that p has a restriction formal expression ab with respect to the function restriction formalism. In other words, a subgroup H satisfies p in a group G if and only if every function in G satisfying property a restricts to a function on H satisfying property b.

Relation with other metaproperties

Stronger metaproperties