Solution Manual for Contemporary Abstract Algebra 9th Edition by Gallian ISBN 1305657969 9781305657960

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Product Details:

Language: English

ISBN-10: 1305657969

ISBN-13: 978-1305657960

ISBN-13: 9781305657960

Author: Joseph Gallian

Table of Content:

PART I: INTEGERS AND EQUIVALENCE RELATIONS.
PART I!: GROUPS.
2. Groups.
3. Finite Groups; Subgroups.
4. Cyclic Groups.
5. Permutation Groups.
6. Isomorphisms.
7. Cosets and Lagrange’s Theorem.
8. External Direct Products.
9. Normal Subgroups and Factor Groups.
10. Group Homomorphisms.
11. Fundamental Theorem of Finite Abelian Groups.
PART III: RINGS.
12. Introduction to Rings.
13. Integral Domains.
14. Ideals and Factor Rings.
15. Ring Homomorphisms.
Exercises.
16. Polynomial Rings.
17. Factorization of Polynomials.
18. Divisibility in Integral Domains.
PART IV: FIELDS.
19. Vector Spaces.
20. Extension Fields.
21. Algebraic Extensions.
22. Finite Fields.
23. Geometric Constructions.
PART V: SPECIAL TOPICS.
24. Sylow Theorems..
25. Finite Simple Groups.
26. Generators and Relations.
27. Symmetry Groups.
28. Frieze Groups and Crystallographic Groups.
29. Symmetry and Counting.
30. Cayley Digraphs of Groups.
31. Introduction to Algebraic Coding Theory.
33. Cyclotomic Extensions.

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