Normal subgroup of finitely generated group
From Groupprops
This article describes a property that arises as the conjunction of a subgroup property: normal subgroup with a group property imposed on the ambient group: finitely generated group
View a complete list of such conjunctions | View a complete list of conjunctions where the group property is imposed on the subgroup
Contents
Definition
Symbol-free definition
A subgroup of a group is termed a normal subgroup of finitely generated group if the whole group is a finitely generated group and the subgroup is a normal subgroup.