Excellent text approaches characters via rings (or algebras). Focus on properties of characters, role in structure of group. Prerequisite: first-year graduate algebra. 1976 edition.
Excellent text approaches characters via rings (or algebras). Focus on properties of characters, role in structure of group. Prerequisite: first-year graduate algebra. 1976 edition.
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
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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