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Other titles in the Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts series:
Groups and Characters (Pure and Applied Mathematics: A Wiley-Interscience Series of Texts, Monographs and Tracts)by Larry C. Grove
Synopses & Reviews
An authoritative, full-year course on both group theory and ordinary character theory—essential tools for mathematics and the physical sciences
One of the few treatments available combining both group theory and character theory, Groups and Characters is an effective general textbook on these two fundamentally connected subjects. Presuming only a basic knowledge of abstract algebra as in a first-year graduate course, the text opens with a review of background material and then guides readers carefully through several of the most important aspects of groups and characters, concentrating mainly on finite groups.
Challenging yet accessible, Groups and Characters features:
As valuable as Groups and Characters will prove as a textbook for mathematicians, it has broader applications. With chapters suitable for use as independent review units, along with a full bibliography and index, it will be a dependable general reference for chemists, physicists, and crystallographers.
Book News Annotation:
A textbook for a graduate mathematics course of one or two semesters. Combines group and character theory, with a focus on finite groups, and includes some computational aspects. Readers are assumed to have completed a graduate-level course in abstract algebra and have a reasonable facility with linear algebra. Also suitable as a reference for chemists, physicists, and crystallographers.
Annotation c. Book News, Inc., Portland, OR (booknews.com)
This challenging book covers aspects of group theory, concentrating mainly, but not exclusively, on finite groups.<P>Contains large number of examples in complete detail.<BR>-- Exercises are conceptual and not theoretical.
Includes bibliographical references (p. 203-207) and index.
About the Author
LARRY C. GROVE is Professor of Mathematics at the University of Arizona He is the author of Algebra and coauthor of Finite Reflection Groups.
Table of Contents
Counting with Groups.
Transfer and Splitting.
Representations and Characters.
Induction and Restriction.
Computing Character Tables.
Characters of Sn and An.
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