Groups and characters

著者

• Grove, Larry C.

書誌事項

Groups and characters

Larry C. Grove

（Pure and applied mathematics）

Wiley, c1997

注記

"A Wiley-Interscience publication."

Includes bibliographical references and index

内容説明・目次

内容説明

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: * An extensive collection of examples surveying many different types of groups, including Sylow subgroups of symmetric groups, affine groups of fields, the Mathieu groups, and symplectic groups * A thorough, easy-to-follow discussion of Polya-Redfield enumeration, with applications to combinatorics * Inclusive explorations of the transfer function and normal complements, induction and restriction of characters, Clifford theory, characters of symmetric and alternating groups, Frobenius groups, and the Schur index * Illuminating accounts of several computational aspects of group theory, such as the Schreier-Sims algorithm, Todd-Coxeter coset enumeration, and algorithms for generating character tables 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.

目次

Preliminaries. Some Groups. Counting with Groups. Transfer and Splitting. Representations and Characters. Induction and Restriction. Computing Character Tables. Characters of Sn and An. Frobenius Groups. Splitting Fields. Bibliography. Index.

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詳細情報

• NII書誌ID(NCID): BA31893254
• ISBN:
  • 0471163406
• LCCN: 96029776
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: viii, 212 p.
• 大きさ: 25 cm
• 分類:
  • LCC : QA174.2
  • DC21 : 512/.2
• 件名:
  • LCSH : Group theory
• 親書誌ID:
  • BA00007488