Rings and Fields
Galois theory 2
Galois theory 1
UFD/PID/maximal ideal/principal ideal 1
Irreducibility
Ring theory and number theory
Ring theory introduction

Groups
Sylow theorems, Orbit-Stabilizer, GLn
Burnside's lemma, class equation, conjugacy classes
Normal subgroups, direct products, quotient groups, homomorphism
Normal subgroups, quotient groups
S_n, conjugation
S_n, conjugation
S_n
Isomorphism, number theory