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Abstract Algebra Theory and Applications by Judson, Thomas W.

Table of Contents: “…Preliminaries -- The Integers -- Groups -- Cyclic Groups -- Permutation Groups -- Cosets and Lagrange's Theorem -- Introduction to Cryptography -- Algebraic Coding Theory -- Isomorphisms -- Normal Subgroups and Factor Groups -- Homomorphisms -- Matrix Groups and Symmetry -- The Structure of Groups -- Group Actions -- The Sylow Theorems -- Rings -- Polynomials -- Integral Domains -- Lattices and Boolean Algebras -- Vector Spaces -- Fields -- Finite Fields -- Galois Theory…”
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