Representations and Characters of Finite Groups

M. J. Collins (Autor)

Buch | Softcover

256 Seiten

2008
Cambridge University Press (Verlag)
978-0-521-06764-5 (ISBN)

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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.

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.

Erscheint lt. Verlag	10.7.2008
Reihe/Serie	Cambridge Studies in Advanced Mathematics
Zusatzinfo	Worked examples or Exercises
Verlagsort	Cambridge
Sprache	englisch
Maße	153 x 230 mm
Gewicht	380 g
Themenwelt	Mathematik / Informatik ► Mathematik
ISBN-10	0-521-06764-2 / 0521067642
ISBN-13	978-0-521-06764-5 / 9780521067645
Zustand	Neuware