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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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★★★★★ 4
Very durable, even after the squeaker quits
Size: Large
These balls are really durable! The squeaker inside only lasted about a week, but my dog loves to chase it and just chew on it in his mouth. I took two of them to the dog park, and the other dogs were the same way with them.
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Reviewed in the United States on August 22, 2025
★★★★★ 5
Chew Lover
Size: Large
Very durable for my dog that LOVES to chew on things.
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Reviewed in the United States on April 25, 2026
★★★★★ 1
Junk
Size: Large
They have molded seams in the center and squeaker part . Making them separate , with little use ...pretty much junk !
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Reviewed in the United States on December 15, 2025
★★★★★ 5
Good product!
Size: Large
These have become my cockapoo Max's favorite toys! He loves playing catch with them!
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Reviewed in the United States on May 18, 2026
★★★★★ 5
SO durable & my Blue Heeler LOVES it!
Color: Purple, Color: Purple
My Blue Heeler tears up almost all of her toys if they’re not rubber. This ball is SO durable and she loves it so much!! We’ve had it for 5 months now. She chews on it every day for long periods of time and it’s showing pretty much no wear and tear. I keep wondering if I’ll ever have to pull out the second one from the box lol. It can be hard to squeak with one hand, but it’s easy enough with 2 hands or if you step on it with your foot. It’s hilarious that every time I squeak it she licks her lips. My girl never actually squeaks it while she’s chewing on it, which is actually a plus cuz it doesn’t get annoying when she’s chewing on it for long periods of time. I also love that the ball helps clean her teeth because of the spikes and the size is larger so it’s easy to take it from her while playing fetch. Overall a fun, durable dog toy!
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Reviewed in the United States on May 16, 2026
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