# Group of prime power order in which every abelian subgroup of maximum order is normal

From Groupprops

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 propertiesVIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

## Definition

Suppose is a group of prime power order. We say that **every abelian subgroup of maximum order is normal** if every abelian subgroup of maximum order of is a normal subgroup of .