Abstract Algebra: A First Course

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  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 9/30/2008
  • Publisher: Waveland Pr Inc

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Table of Contents

Sets and Inductionp. 1
Binary Operationsp. 10
Groupsp. 16
Fundamental Theorems about Groupsp. 25
Powers of an Element; Cyclic Groupsp. 33
Subgroupsp. 43
Direct Productsp. 55
Functionsp. 59
Symmetric Groupsp. 66
Equivalence Relations; Cosetsp. 80
Counting the Elements of a Finite Groupp. 88
Normal Subgroupsp. 99
Homomorphismsp. 109
Homomorphisms and Normal Subgroupsp. 121
Direct Products and Finite Abelian Groupsp. 133
Sylow Theoremsp. 143
Ringsp. 153
Subrings, Ideals, and Quotient Ringsp. 164
Ring Homomorphismsp. 177
Polynomialsp. 191
From Polynomials to Fieldsp. 205
Unique Factorization Domainsp. 211
Extensions of Fieldsp. 227
Constructions with Straightedge and Compassp. 240
Normal and Separable Extensionsp. 249
Galois Theoryp. 265
Solvabilityp. 279
Suggestions for Further Readingp. 297
Answers to Selected Exercisesp. 301
Indexp. 307
Table of Contents provided by Blackwell. All Rights Reserved.

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