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Character Theory of Finite Groups

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Character Theory of Finite Groups"The book is a pleasure to read. There is no question but that it will become, and deserves to be, a widely used textbook and reference." Bulletin of the American Mathematical Society. Character theory provides a powerful tool for proving theorems about finite groups. In addition to dealing with techniques for applying characters to "pure" group theory, a large part of this book is devoted to the properties of the characters themselves and how these

"The book is a pleasure to read. There is no question but that it will become, and deserves to be, a widely used textbook and reference." -- Bulletin of the American Mathematical Society.
Character theory provides a powerful tool for proving theorems about finite groups. In addition to dealing with techniques for applying characters to "pure" group theory, a large part of this book is devoted to the properties of the characters themselves and how these properties reflect and are reflected in the structure of the group.
Chapter I consists of ring theoretic preliminaries. Chapters 2 to 6 and 8 contain the basic material of character theory, while Chapter 7 treats an important technique for the application of characters to group theory. Chapter 9 considers irreducible representations over arbitrary fields, leading to a focus on subfields of the complex numbers in Chapter 10. In Chapter 15 the author introduces Brauer's theory of blocks and "modular characters." Remaining chapters deal with more specialized topics, such as the connections between the set of degrees of the irreducible characters and structure of a group. Following each chapter is a selection of carefully thought out problems, including exercises, examples, further results and extensions and variations of theorems in the text.
Prerequisites for this book are some basic finite group theory: the Sylow theorems, elementary properties of permutation groups and solvable and nilpotent groups. Also useful would be some familiarity with rings and Galois theory. In short, the contents of a first-year graduate algebra course should be sufficient preparation.

Binding Type: Paperback
Publisher: Dover Publications
Published: 11/02/2011
ISBN: 9780486680149
Pages: 336
Weight: 0.76lbs
Size: 8.48h x 5.42w x 0.63d
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SKU: 78882698705

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Color: White, Number Of Shelves: 2, Size: 15.7in, Color: White, Number Of Shelves: 2, Size: 15.7in
Although the wood quality and finish of the shelf are clean and well-made, the main issue is that the shelves begin to sag over time while holding around 10 pounds, even though the product listing claims they can support up to 20 pounds. They may perform better on a brick wall, but on drywall you should be cautious. To fix the problem, I had to purchase floating shelf brackets for support, which solved the sagging issue. However, this defeats the purpose of the “floating” aesthetic. Since the shelf is in my bedroom, I can overlook it, but I personally wouldn’t install these in a common area if I wanted a clean floating look.
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