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Prove that every quotient group of an Abelian group is Abelian
Chapter 22, Problem 22.5(choose chapter or problem)
QUESTION:
Prove that every quotient group of an Abelian group is Abelian.
Questions & Answers
QUESTION:
Prove that every quotient group of an Abelian group is Abelian.
ANSWER:Step 1 of 2
Let be a subgroup of an abelian group
From the properties of abelian group;
Every subgroup of an abelian group is normal.
So, is the normal subgroup of .