Finitely generated abelian implies Hopfian
This article gives the statement and possibly, proof, of an implication relation between two group properties. That is, it states that every group satisfying the first group property (i.e., finitely generated abelian group) must also satisfy the second group property (i.e., Hopfian group)
View all group property implications | View all group property non-implications
Get more facts about finitely generated abelian group|Get more facts about Hopfian group
Statement
Any finitely generated abelian group is a Hopfian group.