MATH 120A: INTRO GROUP THEORY

Note 1: Binary Operations

Note 2: Isometric Binary Structures

Note 3: Groups

Note 4: Subgroups

Note 5: Cyclic Groups

Note 6: Group of Permutations

Note 7: Orbits, Cycles, and the Alternating Groups

Note 8: Cosets and Lagrange's Theorem

Note 9: Direct Products and Finitely Generated Abelian Groups

Note 10: Homomorphisms

Note 11: Factor Groups

Note 12: Factor-Group Computations and Simple Groups

Note 13: Group Action on a Set

Note 14: Sylow Theorems

Note 15: Application of Sylow Theorems