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Prove that a factor group of an Abelian group is Abelian.
Chapter 9, Problem 13E(choose chapter or problem)
QUESTION:
Problem 13E
Prove that a factor group of an Abelian group is Abelian.
Questions & Answers
QUESTION:
Problem 13E
Prove that a factor group of an Abelian group is Abelian.
ANSWER:
Step 1 of 2
Let G be an Abelian group and H Bethe normal subgroup of G
Then,
The object is to show that the factor group
A group G is said to be Abelian if 
The set
To show that 
The multiplicative property in the factor group
