Anyone has a good recommendation of a free pdf book on group theory?
I am specially interested in its application for computer science, however, I do not want it to be less mathematically rigorous just because of that.
I found one that was good, but it only dealt with commutative groups throught the text 🙁
We used this (Judson) in my Algebra class. It’s pretty good and offers numerous computational exercises using Sage and has sections on cryptography and other computational topics. I enjoyed it.
Note that this text covers more than just group theory and goes into rings, fields, modules, etc. It is meant as a first (and second) course in Algebra text.
If you are fearless, Milne’s notes on group theory are pretty good (they are meant to a first year graduate-level course in mathematics): http://www.jmilne.org/math/CourseNotes/gt.html
There are online copies of Artin’s Algebra 2nd Ed
Have you ever seen this?
Schaum’s outline of theory and problems of group theory