MATH 5P10 - Groups, Rings, and Groups Rings

Advanced group theory and ring theory, such as group actions, p-groups and Sylow subgroups, solvable and nilpotent groups, finiteness conditions in rings, semisimplicity, the Wedderburn-Artin theorem. Introduction to group rings, such as unit groups, augmentation ideals, several important types of units, and the isomorphism problem.