# Iwasawa Theory, Projective Modules, and Modular Representations

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*Ralph Greenberg*

#### Table of Contents

# Table of Contents

## Iwasawa Theory, Projective Modules, and Modular Representations

- Chapter 1. Introduction. 18 free
- Chapter 2. Projective and quasi-projective modules. 1724
- Chapter 3. Projectivity or quasi-projectivity of XE0(K). 3138
- Chapter 4. Selmer atoms. 4754
- Chapter 5. The structure of Hv(K, E). 6976
- Chapter 6. The case where is a p-group. 7784
- Chapter 7. Other specific groups. 8188
- Chapter 8. Some arithmetic illustrations. 105112
- Chapter 9. Self-dual representations. 131138
- Chapter 10. A duality theorem. 141148
- Chapter 11. p-modular functions. 151158
- Chapter 12. Parity. 159166
- Chapter 13. More arithmetic illustrations. 169176
- Bibliography 183190