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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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★★★★★ 5
Dressy without the struggle
Color: Deep Gray, Size: 7
These are really nice little dress pants for boys.
Perfect for church, weddings, or anything where they need to look a bit more put together. The big win for me… they’re not stiff. My kid didn’t fuss about wearing them at all, which says a lot.
They look clean and polished but still have some comfort to them, which is exactly what you want for this kind of thing.
They also seem pretty well made, nothing fancy but solid for the price.
Easy win if you need dress pants a kid will actually wear.
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Reviewed in the United States on April 17, 2026
★★★★★ 5
Nice suit pants
Color: Black, Size: 14, Color: Black, Size: 14
Sorry they are covered by a long shirt in this picture, but they are great pants! They are fully adjustable with a huge range of buttons for sizing the stretchy tabs inside. They are made of a soft, durable fabric, and my son said they’re comfortable enough to wear all day. They looked really nice, though since we had to cinch them tight for this super skinny guy, and belt might have helped to cover up the bunching in the back.
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Reviewed in the United States on April 6, 2026
★★★★★ 1
Will continue to be a customer
Color: Deep Gray, Size: 10
Dress pants did not fit right on my grandson. Too big in the waist and wasn't long enough. I returned the pants.
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Reviewed in the United States on April 9, 2026
★★★★★ 5
Smart-Looking Pants That Fit Well
Color: Navy Blue, Size: 8
I had my son wear these for a church, and they looked sharp without being too stiff. The adjustable waist makes them comfortable, and the fabric feels durable enough to handle a few hours of running around. They held their shape well and didn’t wrinkle too easily.
After a couple of wears, they still look crisp and clean. The overall fit and finish make them feel like a well-made pair of dress pants.
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Reviewed in the United States on April 2, 2026
★★★★★ 5
Great Fit
Color: Royal Blue, Size: 10
Cute vest perfect for my 10 yr old
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Reviewed in the United States on May 19, 2026