Re: Books on group theory

On Wed, 27 Jul 2005 18:49:14 GMT, "n3wb1e" <n3wb1e@xxxxxxxxxxxxxx>
wrote:

>I need a tip on a good book on group theory. I need books dealing only with
>GT and possibly not with other algebraic structures as rings. Which is/are
>the "must have" in group theory? Thank you
>

Well, it depends on the level of your math background.

If you haven't had linear algebra and modern algebra, then I would
simply get a good modern algebra book and do the chapters on group
theory, possibly looking back at earlier chapters (before the group
theory), as needed.

I don't have a specific recommendation here. The book I learned from,
"Topics In Algebra" by Herstein is good, but not great, in my opinion.

Once you have the basic prerequisites of linear algebra and modern
algebra, there is a next level of group theory which freely uses
knowledge of rings, fields, vector spaces whenever they are needed to
prove something or to provide examples.

A really exciting book at this level, very well written, and with a
great selection of exercises is "A Course On Group Theory" by John
Rose. It's also inexpensive (a Dover paperback).

Another very good one, but not as much fun, in my opinion, is "Group
Theory" by Rotman.

But these books freely use basic concepts about other algebraic
structures, so you need the prerequisites.

quasi
.

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