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A Friendly Introduction to Abstract Algebra

โœ Scribed by Emma Norbrothen Wright

Tongue
English
Leaves
378
Category
Library
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โœฆ Table of Contents

A Friendly Introduction to Abstract Algebra
Recommended Citation
Welcome
Dihedral Groups
Introduction to Dihedral Groups
Binary Operations
Introduction to Binary Operations
Some Important Elements
Groups
Introduction to Groups
Basic Properties of Groups
Subgroups
Permutation Groups
Bijections
Permutation Groups
Properties of Permutations and Cycles
Alternating Groups
Subgroups
Some Important Subgroups
Cyclic Groups and Subgroups
Functions on Groups
Homomorphisms
Isomorphisms
Lagrange's Theorem
Cosets
Lagrange's Theorem
Constructing Groups
External Direct Products
Normal Subgroups
Quotient Groups
The Isomorphism Theorems
Rings
Introduction to Rings
Subrings
Integral Domains
Ideals
Fields
Characteristic of a Ring
Quotient Rings
Ring Homomorphisms
Polynomials
Polynomial Rings
Division Algorithm
Irreducible Polynomials
Cayley Tables of Some Dihedral Groups
Hints and Solutions

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