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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions
A group whose center is comparable with all normal subgroups is defined as a group whose center is a subgroup comparable with all normal subgroups. In other words, every normal subgroup is either a central subgroup (i.e., it is contained in the center) or is a subgroup containing the center.
Relation with other properties