Block 1 – Elementary Group Theory
Sets and Functions
Groups
Subgroups
Lagrange’s Theorem
Block 2 – Some More Group Theory
Normal Subgroups
Group Homomorphisms
Permutation Groups
Finite Groups
Block 3 – Elementary Ring Theory
Rings
Subrings and Ideals
Ring Homomorphisms
Block 4 – Integral Domains and Fields
The Basics
Polynomial Rings
Special Integral Domains
Irreducibility and Field Extensions
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