A Course on Group Theory

Description

The principal focus of this advanced study, directed to advanced undergraduate and graduate students, is on finite groups, with an emphasis on the idea of group actions. Chapters are divided between coverage of the normal and the arithmetical structure of groups. 679 exercises. 1978 edition.
Summary: Right On!
Rating: 5
I had some previous exposure to Group Theory, but then my thesis (in Computer Science) actually needed Group Theory, so I was forced to dig deeper and get some real understanding. This book was more than adequate, and the price was just unbeatable. If you actually need explicit algorithmic details (for implementation), check out "Fundamental Algorithms for Permutation Groups" from Greg Butler as well.
Summary: NOT SO EASY
Rating: 4
On the strength of the previos review from France, I bought this book in the hope of a nice intro to group theory. Imagine my consternation when I read the preface in which it was clearly stated that the book specifically covers FINITE group theory and presupposes that the reader has had prior, elementary course in group theory. If you don't know group theory already, start with some other book, then try this one.
Summary: A complete book by John S. Rose
Rating: 5
This book is very complete: it is intended as a guide about group theory for the beginners who want to study it seriously. Exercises are excellent. Moreover it contains a chapter which hasn't been published before (about transfer and splitting theorems).

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