Representations of Groups

Erscheinungsjahr 2010
ISBN: 978-0-521-76807-8
Verlag: Cambridge University Press

Buch, Englisch, Band 124, 472 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 829 g

Reihe: Cambridge Studies in Advanced Mathematics

The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book to provide an introduction to the ordinary and modular representation theory of finite groups with special emphasis on the computational aspects of the subject. Evolving from courses taught at Aachen University, this well-paced text is ideal for graduate-level study. The authors provide over 200 exercises, both theoretical and computational, and include worked examples using the computer algebra system GAP. These make the abstract theory tangible and engage students in real hands-on work. GAP is freely available from www.gap-system.org and readers can download source code and solutions to selected exercises from the book's web page.

Autoren/Hrsg.

Lux, Klaus

Pahlings, Herbert

Fachgebiete

• Mathematik | Informatik EDV | Informatik Business Application Mathematische & Statistische Software
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

Preface; Frequently used symbols; 1. Representations and modules; 2. Characters; 3. Groups and subgroups; 4. Modular representations; List of notation; Bibliography; Index.

Über Autor(innen)

Pahlings, Herbert
Herbert Pahlings is Professor Emeritus at RWTH Aachen University in Germany.

Lux, Klaus
Klaus Lux is Associate Professor in the Department of Mathematics at the University of Arizona, Tucson.

Klaus Lux is Associate Professor in the Department of Mathematics at the University of Arizona, Tucson.

Herbert Pahlings is Professor Emeritus at RWTH Aachen University in Germany.