1. The problem statement, all variables and given/known data PRove that a factor group of an abelian group is abelian 2. Relevant equations 3. The attempt at a solution Assume G in G/H is abelian. Let there be elements a and b that are in G. such that ab=ba. Since H is a subgroup of G , elements a and b are also in H. Then (aH)(bH)=ab(H) =ba(H)=(bH)(aH) . Therefore , factor group G/H is abelian. Is my proof correct?