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For readers who have completed a first-year graduate algebra course, Isaacs explains the properties of characters generated by character theory and how these properties reflect and are reflected in the structure of the group. He also discusses techniques for applying characters to pure group theory. The 1976 edition was published by Academic Press, New York, as volume 69 in the series Pure and Applied Mathematics. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)
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Book by I Martin Isaacs
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Character Theory of Finite Groups
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American Mathematical Society, 2006
ISBN 10: 0821842293
ISBN 13: 9780821842294
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Condizione: New. Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the underlying group. Series: AMS Chelsea Publishing. Num Pages: 303 pages. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 185 x 260 x 21. Weight in Grams: 710. . 2006. New ed. Hardcover. . . . . Codice articolo V9780821842294
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Character Theory of Finite Groups (AMS Chelsea Publishing)
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Hardcover. Condizione: Brand New. 303 pages. 9.75x7.00x0.75 inches. In Stock. Codice articolo __0821842293
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Character Theory of Finite Groups
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American Mathematical Society, US, 2006
ISBN 10: 0821842293
ISBN 13: 9780821842294
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Hardback. Condizione: New. Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the underlying group. The book begins by developing the module theory of complex group algebras. After the module-theoretic foundations are laid in the first chapter, the focus is primarily on characters. This enhances the accessibility of the material for students, which was a major consideration in the writing. Also with students in mind, a large number of problems are included, many of them quite challenging. In addition to the development of the basic theory (using a cleaner notation than previously), a number of more specialized topics are covered with accessible presentations. These include projective representations, the basics of the Schur index, irreducible character degrees and group structure, complex linear groups, exceptional characters, and a fairly extensive introduction to blocks and Brauer characters. This is a corrected reprint of the original 1976 version, later reprinted by Dover. Since 1976 it has become the standard reference for character theory, appearing in the bibliography of almost every research paper in the subject. It is largely self-contained, requiring of the reader only the most basic facts of linear algebra, group theory, Galois theory and ring and module theory. Codice articolo LU-9780821842294
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Character Theory of Finite Groups
Editore:
American Mathematical Society, 2006
ISBN 10: 0821842293
ISBN 13: 9780821842294
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Condizione: New. Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the underlying group. Series: AMS Chelsea Publishing. Num Pages: 303 pages. BIC Classification: PBG. Category: (P) Professional & Vocational. Dimension: 185 x 260 x 21. Weight in Grams: 710. . 2006. New ed. Hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821842294
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Isaacs, I: Character Theory of Finite Groups
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American Mathematical Society, 2006
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ISBN 13: 9780821842294
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Condizione: New. Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely rela. Codice articolo 735464154
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Character Theory of Finite Groups
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American Mathematical Society, US, 2006
ISBN 10: 0821842293
ISBN 13: 9780821842294
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Hardback. Condizione: New. Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Characters are also of interest in their own right, and their properties are closely related to properties of the structure of the underlying group. The book begins by developing the module theory of complex group algebras. After the module-theoretic foundations are laid in the first chapter, the focus is primarily on characters. This enhances the accessibility of the material for students, which was a major consideration in the writing. Also with students in mind, a large number of problems are included, many of them quite challenging. In addition to the development of the basic theory (using a cleaner notation than previously), a number of more specialized topics are covered with accessible presentations. These include projective representations, the basics of the Schur index, irreducible character degrees and group structure, complex linear groups, exceptional characters, and a fairly extensive introduction to blocks and Brauer characters. This is a corrected reprint of the original 1976 version, later reprinted by Dover. Since 1976 it has become the standard reference for character theory, appearing in the bibliography of almost every research paper in the subject. It is largely self-contained, requiring of the reader only the most basic facts of linear algebra, group theory, Galois theory and ring and module theory. Codice articolo LU-9780821842294
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Character Theory of Finite Groups
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American Mathematical Society, 2006
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Character Theory of Finite Groups
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Character Theory of Finite Groups
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American Mathematical Society, 2006
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ISBN 13: 9780821842294
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