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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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★★★★★ 1
You get what you pay for
Size: XX-Large, Color: Eggshell White Black Mariner Stripe
Like most of the other reviews here, the shirt runs too small and too short. Material was also incredibly uncomfortable. It also wasn't the color I was hoping it would be, but that's on me for not reading the fine print (eggshell white was very much not white)
If you're looking at this for a certain costume/cosplay idea, it's probably not what you're looking for.
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Reviewed in the United States on February 18, 2026
★★★★★ 5
Solid fit
Size: X-Large, Color: Eggshell White Black Mariner Stripe
Easy fit, comfortable material. Dont expect it to last forever but at the price its solid for the purpose of a halloween costume.
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Reviewed in the United States on November 1, 2025
★★★★★ 3
Runs small
Size: X-Large, Color: Navy
Runs small and is short. Nice dark navy color. I ordered a size up and it is still small.
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Reviewed in the United States on February 26, 2026
★★★★★ 5
Great tee
Size: X-Large, Color: Medium Grey Heather
It’s a nice cotton material…not thin, just perfect. After washing, it also kept its shape.
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Reviewed in the United States on February 18, 2026
★★★★★ 5
Wonderful t-shirts
Size: X-Large, Color: Medium Grey Heather
These t-shirts are well made and have a nice thick feel to them. The sizing is spot on.
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Reviewed in the United States on April 17, 2026
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