Textbooks Contemporary Abstract Algebra

Book Cover for Contemporary Abstract Algebra

Contemporary Abstract Algebra

Joseph Gallian 9th Edition ISBN #9781305657960 1,688 Questions

8,039 Students Work From this Textbook

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Chapters

Preliminaries

Introduction to Groups

Groups

Finite Groups; Subgroups

Cyclic Groups

Permutation Groups

Isomorphisms

Cosets and Lagrange's Theorem

External Direct Products

Normal Subgroups and Factor Groups

Group Homomorphisms

Fundamental Theorem of Finite Abelian Groups

Introduction to Rings

Integral Domains

Ideals and Factor Rings

Ring Homomorphisms

Polynomial Rings

Factorization of Polynomials

Divisibility in Integral Domains

Vector Spaces

Extension Fields

Algebraic Extensions

Finite Fields

Geometric Constructions

Sylow Theorems

Finite Simple Groups

Generators and Relations

Symmetry Groups

Frieze Groups and Crystallographic Groups

Symmetry and Counting

Cayley Digraphs of Groups

Introduction to Algebraic Coding Theory

An Introduction to Galois Theory

Cyclotomic Extensions

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