MATH 457 Honours Algebra 4

3 credits · Mathematics and Statistics · Faculty of Science · Offered: Winter

Representations of finite groups. Maschke's theorem. Schur's lemma. Characters, their orthogonality, and character tables. Field extensions. Finite and cyclotomic fields. Galois extensions and Galois groups. The fundamental theorem of Galois theory. Solvability by radicals.

Prerequisite courses: MATH 236, MATH 251, MATH 456

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