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 finite group is said to be balanced if the Brauer core of the centralizer of any involution is contained in the Brauer core of the whole group.
Definition with symbols
A finite group is said to be balanced if for any .