Minor shelf-wear only, otherwise in very good used condition. Contents mostly clean and unmarked, with uncreased pages. Firm, secure bindings, spine intact. Publisher's note: 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. Size: 24.8 x 17.8 x 1.9 cm. xii, 303 pp. Shipped Weight: Under 1 kilo. Category: Mathematics; Finite groups; Characters of groups; Characters of groups; ISBN: 0821842293. ISBN/EAN: 9780821842294. Add. Inventory No: 250322CTY0714810.

Bestandsnummer des Verk�ufers 250322CTY0714810

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Bibliografische Details

Titel

Character Theory of Finite Groups

Verlag

AMS Chelsea Pub., Providence, R.I.

Ver�ffentlichungsdatum

2006

Sprache

Englisch

ISBN-10

0821842293

ISBN-13

9780821842294

Bindung

Hardcover

Zustand

Good

Verk�uferkataloge

Mathematics

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Inhaltsangabe

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.

�ber die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teor�a y cr�tica del dise�o y han escrito m�s de sesenta libros sobre la materia, muchos de los cuales se han convertido en �xitos de ventas. Tambi�n han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Dise�o del siglo XX, El dise�o industrial de la A a la Z, Scandinavian Design y Dise�o del siglo XXI.

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