Comprehensive notes cover each section of the textbook. Zip files corresponding to each pdf contain the respective lecture audio.
"A First Course In Abstract Algebra", John B. Fraleigh, 7th edition
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- Sets and Relations
- Intro to Groups and Examples
- Binary operations
- Isomorphic binary structures
- Groups
- Subgroups
- Cyclic groups
- Permutations, cosets, and Direct Products
- Orbits, Cycles, the Alternating Group
- Cosets
- Theorem of Lagrange
- Direct Product and Finitely Generated Abelian Groups
- Theorems of Direct Products
- Homomorphisms and Factor Groups
- Cosets of the Kernel
- Kernel Isomorphisms
- Factor Groups
- Automorphisms, Factor Group Computations and Simple Groups
- Simple Group
- Rings and Fields
- Ring Homomorphisms