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MAA Reviews

Character Theory of Finite Groups

I. Martin Isaacs

Table of Contents

Preface; Acknowledgments; Notation
1. Algebras, modules, and representations. Problems
2. Group representations and characters. Problems
3. Characters and integrality. Problems
4. Products of characters. Problems
5. Induced characters. Problems
6. Normal subgroups. Problems
7. T.I. sets and exceptional characters. Problems
8. Brauer's theorem. Problems
9. Changing the field. Problems
10. The Schur index. Problems
11. Projective representations. Problems
12. Character degrees. Problems
13. Character correspondence. Problems
14. Linear groups. Problems
15. Changing the characteristic. Problems
Appendix. Some character tables
Biographic notes; References; Index

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