Single-input-expressible subgroup metaproperty

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This article defines a subgroup metametaproperty
View a complete list of subgroup metametaproperties

Definition

A subgroup metaproperty \alpha is termed single-input-expressible if it admits the following description. Consider a procedure P that takes as input a pair of a group and a subgroup, and outputs a collection of group-subgroup pairs.

A subgroup property p satisfies \alpha if and only if, whenever the starting pair satisfies property p, all the pairs in the resulting collection also satisfy property p.

Relation with other metametaproperties

Weaker metaproperties