Composition-closed subgroup metaproperty

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

Definition

A subgroup metaproperty $\alpha$ is termed composition-closed if whenever subgroup properties $p$ and $q$ satisfy the metaproperty $\alpha$, so does the composition $p*q$.