Quote:
Originally Posted by galactus  Thanks for the correction on the homomorphism. You are so right. I knew that. Just boo-booed. I was mixing it up with the other problem. That, I believe is the homomorphism. I was on the right track with the cancellations then?. Good. Anyway, I have been using Fraleigh's 5th edition. It's what I have on hand and it only cost a few dollars. |
I would like to make a recommendation. Earlier versions of his book start out the same, the first three sections (do not know how to call them). It changes when you reach the fourth chapter. In the fourth chapter, in earlier versions, I think in your version, he immediately goes into more advanced group theory. In the newer versions, like mine, he avoids that chapter until the need arises. Meaning he goes into Rings and Fields after section 3 and then into Prime and Maximal Ideals. And then into some Field theory (the chapter with Algebraic extensions). And only after all of that he starts doing group theory on a more advanced level. I agree with that approach, I think that chapter is more difficult than those and there is no need to learn it. But maybe, you do not care about field theory and want to jump into more group theory.