University of Calgary

MATH 431 - Algebra II - Fall 2023

An intermediate course in the theory of groups and fields. Group theory: group actions, Sylow theorems, solvable, nilpotent and p-groups, simplicity of alternating groups and PSL(n,q). Field theory: algebraic and transcendental extensions, separability and normality, Galois theory, insolvability of the general quintic equation, and computation of Galois groups over the rationals.
This course may not be repeated for credit.


  • H(3-0)


  • Mathematics 315; and Mathematics 311 or 313. Also known as: (formerly Pure Mathematics 431)


This course will be offered next in Fall 2024.
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