Group theory: Sylow theorems, solvable, nilpotent and p-groups, simplicity of alternating groups and PSL(n,q), structure theory of finite abelian groups; field theory: gilds, algebraic and transcendental extensions, separability and normality, Galois theory, insolvability of the general quintic equation, computation of Galois groups over the rationals.
This course may not be repeated for credit.
Prerequisite(s)
- Mathematics 311 or 313 and Pure Mathematics 315 or 317 or consent of the Division.
SyllabusSections
This course will be offered next in
Fall 2013.