I'm slowly beginning a student of certain higher mathematics.
I'm trying to see if I would prefer to study Group Theory or Abstract Algebra.
I know that Abstract Algebra seems to "come before" Group Theory, in the sence that one usually learns the terminology of GT through AA.
Am I correct in thinking that AA is essentially a broader version of GT, whereas GT seems to just focus on rings and fields?
I'm basically trying to learn one of the two that will best lead to lie algebra(s), and get a pure math balance to differential geometry that I'm trying to learn now.