GROUP THEORY

Undergraduate

An introduction to group theory, including: cyclic groups, symmetric groups, subgroups and normal subgroups, Lagrange’s theorem, quotient groups and homomorphisms, isomorphism theorems, group actions, Sylow’s theorem, simple groups, direct and semidirect products, fundamental theorem on finitely generated Abelian groups. PREREQUISITE: MATH 2720 and MATH 2610 Three lecture hours per week