University of Calgary

PMAT 431 - Algebra II - Fall 2017

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.


  • H(3-0)


  • Mathematics 311 or 313 and Pure Mathematics 315 or 317; or consent of the Department.


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