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9 Extension Fields
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Cheryl Chute Miller
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Chapters in this book
- Frontmatter i
- Dedication v
- Contents vii
- Preface to Second Edition xi
- Preface to First Edition xii
- Photo Credits xv
- 0 Preliminaries 1
- 1 Groups 17
- 2 Subgroups and Homomorphisms 45
- 3 Quotient Groups 85
- 4 Rings 117
- 5 Quotient Rings 145
- 6 Domains 169
- 7 Polynomial Rings 197
- 8 Factorization of Polynomials 225
- 9 Extension Fields 251
- 10 Galois Theory 277
- 11 Solvability 303
- Hints for Selected Exercises 321
- Bibliography 333
- Index 337
Chapters in this book
- Frontmatter i
- Dedication v
- Contents vii
- Preface to Second Edition xi
- Preface to First Edition xii
- Photo Credits xv
- 0 Preliminaries 1
- 1 Groups 17
- 2 Subgroups and Homomorphisms 45
- 3 Quotient Groups 85
- 4 Rings 117
- 5 Quotient Rings 145
- 6 Domains 169
- 7 Polynomial Rings 197
- 8 Factorization of Polynomials 225
- 9 Extension Fields 251
- 10 Galois Theory 277
- 11 Solvability 303
- Hints for Selected Exercises 321
- Bibliography 333
- Index 337
