Abstract Algebra

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Abstract Algebra
Theory and Applications
Thomas W. Judson
Stephen F. Austin


Table of Contents 

1 The Integers

2 Groups

3 Cyclic Groups

4 Permutation Groups

5 Cosets and Lagrange’s Theorem

6 Introduction to Cryptography

7 Algebraic Coding Theory

8 Isomorphisms

9 Homomorphisms and Factor Groups

10 Matrix Groups and Symmetry

11 The Structure of Groups

12 Group Actions

13 The Sylow Theorems

14 Rings

15 Polynomials

16 Integral Domains

17 Lattices and Boolean Algebras

18 Vector Spaces

19 Fields

20 Finite Fields

21 Galois Theory



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