Left residual-preserved subgroup metaproperty

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

Definition

A subgroup metaproperty $\alpha$ is termed left residual-preserved if given subgroup properties $p,q$ such that $p$ satisfies $\alpha$, the left residual of $p$ by $q$ also satisfies $\alpha$.

Relation with other metaproperties

Weaker metaproperties

• Left transiter-preserved subgroup metaproperty