Lattice-determined group property
This article defines a group metaproperty: a property that can be evaluated to true/false for any group property
View a complete list of group metaproperties
A group property is termed lattice-determined if it can be expressed as a condition on the lattice of subgroups. Explicitly, this means that given two groups that are lattice-isomorphic groups, i.e., they have isomorphic lattices of subgroups, either both and have , or neither does.