"Group A is a quotient of Group B"? What does this phrase mean? I see it every now and again and can't figure it out. Are they say group B is the homomorphic image of group A? I'm familiar qith quotient groups, but with only groups A and B named, how would we know which quotient group of A is equal to B? This is what makes me think the former is correct. Also, I saw this used in the sense "group G is a quotient of the Free group on n letters." Since every group is the homomorphic image of a free group, I again thought my first idea was correct. Am I way off?