CHARACTER THEORY OF FINITE GROUPS (Dover Books on Mathematics)
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Book Details
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Author: I. Martin Isaacs
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Brand: Dover
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Edition: Reprint
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Binding: Paperback
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Number of Pages: 336
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Release Date: 05-10-2011
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ISBN: 9780486680149
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Languages: English
About The Book
"Issacs' Character Theory" is an essential text for anyone delving into group theory. With a unique approach to the topic, this book offers both theoretical insights and practical applications. The text provides a detailed examination of character theory, a tool used extensively in proving theorems about finite groups. Beginning with ring-theoretic preliminaries, the book progresses through the core concepts of character theory, culminating in the introduction of Brauer’s theory of blocks and modular characters.
The book serves as both a textbook and a reference guide, making it suitable for graduate students and researchers in algebra. The content is presented clearly, with each chapter accompanied by carefully designed exercises and problems to enhance understanding and encourage deeper exploration. The inclusion of advanced topics, such as irreducible representations and modular characters, ensures that this book remains a valuable resource for those interested in the intricate connections between group structure and character theory.