MATH3040 - Fields and Galois Theory - 2022/23

Announcement

• Syllabus [Download file]
• All course information, assignments and lecture notes are available on Blackboard.

General Information

Lecturer

• Michael McBreen
  • Office: 235 Lady Shaw Building
  • Email:

Course Description

This course is an introduction to the theory of field extensions and Galois theory. It is one of the continuations of MATH3030 (the other being MATH4080).

Topics include: field extensions, algebraic extensions, algebraic closures, geometric constructions, finite fields, splitting fields, separable and inseparable extensions, Galois extensions, Galois correspondences, cyclotomic extensions, solvability by radicals, etc.

Students are expected to have knowledge in MATH2040, MATH2070 and MATH3030, or equivalent.

Honesty in Academic Work

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and thereby help avoid any practice that would not be acceptable.