# Abelianness is quotient-closed

From Groupprops

This article gives the statement, and possibly proof, of a group property (i.e., abelian group) satisfying a group metaproperty (i.e., quotient-closed group property)

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## Statement

Suppose is an abelian group and is a normal subgroup of . Denote by the quotient group. Then, is also an abelian group.