Character Theory of Finite Groups

I Martin Isaacs

ISBN 10: 0821842293 / ISBN 13: 9780821842294

Verlag: AMS Chelsea Pub., Providence, R.I., 2006

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 Verkäufers 250322CTY0714810

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.

Über die Autorin bzw. den Autor: Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También 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, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

Bibliografische Details

Titel: Character Theory of Finite Groups
Verlag: AMS Chelsea Pub., Providence, R.I.
Erscheinungsdatum: 2006
Einband: Hardcover
Zustand: Good