This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters identify important themes and establish the notation used throughout the book, and subsequent chapters explore the normal and arithmetical structures of groups as well as applications. Includes 679 exercises. 1978 edition.
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Most Helpful Customer Reviews
31 of 37 people found the following review helpful:
4.0 out of 5 stars
NOT SO EASY,
By A Customer
This review is from: A Course on Group Theory (Dover Books on Mathematics) (Paperback)
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.
7 of 9 people found the following review helpful:
5.0 out of 5 stars
A complete book by John S. Rose,
By A Customer
This review is from: A Course on Group Theory (Dover Books on Mathematics) (Paperback)
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).
4 of 5 people found the following review helpful:
5.0 out of 5 stars
Right On!,
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This review is from: A Course on Group Theory (Dover Books on Mathematics) (Paperback)
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.
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