Character Theory of Finite Groups

Content: 
Pure and Applied Mathematics A Series of Monographs and Textbooks
Page ii
Samuel Ellenberg, Hyman Eamr

Edited by
Page iii

Copyright Page
Page iv

Preface
Pages vii-viii

Acknowledgments
Page ix

Notation
Pages xi-xii

1 Algebras, modules, and representations
Pages 1-12

2 Group representations and characters
Pages 13-32

3 Characters and integrality
Pages 33-46

4 Products of characters
Pages 47-61

5 Induced characters
Pages 62-77

6 Normal subgroups
Pages 78-98

7 T.I. sets and exceptional characters
Pages 99-125

8 Brauer's theorem
Pages 126-143

9 Changing the field
Pages 144-159

10 The Schur index
Pages 160-173

11 Projective representations
Pages 174-197

12 Character degrees
Pages 198-218

13 Character correspondence
Pages 219-239

14 Linear groups
Pages 240-261

15 Changing the characteristic
Pages 262-286

Appendix Some character tables
Pages 287-291

Bibliographic notes
Pages 292-294

References
Pages 295-296

Index
Pages 297-303