Math 367 Abstract Algebra

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Definition of a Group

Euler’s Formula with Group Theory

Cyclic Groups

Cosets and Lagrange’s Theorem

Normal Subgroups and Quotient Groups

Quaternions Visualized

Isomorphism Theorems

Automorphisms

Conjugacy Classes

Sylow Theorems

4 Ways to Show G is not Simple

Basics of Ring Theory

Ideals and Quotient Rings

Ring Homomorphisms

Prime and Maximal Ideals

Polynomial Rings

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