Representations and Characters of Finite Groups

Erscheinungsjahr 2008
ISBN: 978-0-521-06764-5
Verlag: Cambridge University Press

Buch, Englisch, Band 22, 256 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 421 g

Reihe: Cambridge Studies in Advanced Mathematics

Representation theory and character theory have proved essential in the study of finite simple groups since their early development by Frobenius. The author begins by presenting the foundations of character theory in a style accessible to advanced undergraduates requiring only a basic knowledge of group theory and general algebra. This theme is then expanded in a self-contained account providing an introduction to the application of character theory to the classification of simple groups. The book follows both strands of the theory: the exceptional characters of Suzuki and Feit and the block character theory of Brauer and includes refinements of original proofs that have become available as the subject has grown. This account will be of value as a textbook for students with some background in group theory, and as a reference for specialists and researchers in the field.

Autoren/Hrsg.

Collins, M. J.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

Preface
1. General representation theory
2. Complex characters
3. Suzuki's theory of exceptional characters
4. Coherence and exceptional characters
5. The characterisation of characters
6. Isometries
Appendix: Glauberman's Z*-theorem
References
Index of notation
Index.