Character Theory of Finite Groups

Character Theory of Finite Groups

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qThe 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.q a€” 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 qpureq 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 Brauera€™s theory of blocks and qmodular characters.q 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.CATALYSIS IN CHEMISTRY AND ENZYMOLOGY, William P. .]encks. Exceptionally clear coverage of mechanisms for catalysis, forces in aqueous solution, carbonyl- and acyl-group reactions, practical kinetics, more. ... 60006-8 Pa $21.95 FUNDAMENTALS OF ASTRODYNAMICS, Roger Bate et al. ... stresses in shells, much more. Many problems and answers. 388pp. 5% x 8a#39;/, . 65407-9 Pa. $11.95 MECHANICS]. P. Den Hartog. ... $12.95 MECHANICAL VIBRATIONS, P. Den Hartog.

Title:Character Theory of Finite Groups
Author: I. Martin Isaacs
Publisher:Courier Corporation - 1994

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