Block 1 – Introduction to Groups
Some Preliminaries
Groups
Subgroups
Cyclic Groups
Block 2 – Normal Subgroups and Group Homomorphisms
Lagrange’s Theorem
Normal Subgroups
Quotient Groups
Group Homomorphisms
Permutation Groups
Block 3 – Introduction to Rings
Rings
Subrings
Ideals
Ring Homomorphisms
Block 4 – Integral Domains
Integral Domains and Fields
Polynomial Rings
Roots and Factors of Polynomials
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