10 The Structure of Groups

Kapitel in diesem Buch

1. Frontmatter I
2. Preface VII
3. Contents IX
4. List of symbols XIII
5. 1 Sets, Relations and Functions 1
6. 2 The Integers 20
7. 3 Introduction to Groups 35
8. 4 Quotient groups and Homomorphisms 58
9. 5 Groups Acting on Sets 86
10. 6 Introduction to rings 102
11. 7 Division in Commutative Rings 125
12. 8 Vector Spaces 144
13. 9 Introduction to Modules 180
14. 10 The Structure of Groups 220
15. 11 The Theory of Fields 243
16. 12 Galois Theory 261
17. 13 Tensor Products 292
18. 14 Representations of groups 309
19. 15 Presentations of groups 332
20. 16 Introduction to category theory 354
21. 17 Applications 380
22. Bibliography 429
23. Index 431