Abelian normal subgroup of maximum order
From Groupprops
This article defines a subgroup property: a property that can be evaluated to true/false given a group and a subgroup thereof, invariant under subgroup equivalence. View a complete list of subgroup properties[SHOW MORE]
Contents
Definition
A subgroup of a group of prime power order
is termed an abelian normal subgroup of maximum order if it is an abelian normal subgroup (specifically, an abelian normal subgroup of group of prime power order) and there is no abelian normal subgroup of
of larger order than
.