LEARNING OUTCOMES
To understand at an operative level the concepts of Galois extension and Galois correspondence. Ability to solve equations with algebraic methods.
Credits: 5
Schedule: 25.02.2025 - 03.04.2025
Teacher in charge (valid for whole curriculum period):
Teacher in charge (applies in this implementation): Camilla Hollanti
Contact information for the course (applies in this implementation):
CEFR level (valid for whole curriculum period):
Language of instruction and studies (applies in this implementation):
Teaching language: English. Languages of study attainment: English
CONTENT, ASSESSMENT AND WORKLOAD
Content
valid for whole curriculum period:
Field extensions, simple extensions, extension degree, normality and separability, field automorphisms, Galois groups, Galois correspondence, solubility and simplicity, impossibility of solving a 5th or higher degree polynomial by radicals.
Assessment Methods and Criteria
valid for whole curriculum period:
Lectures, homework.
Workload
valid for whole curriculum period:
24h lectures + 12h exercises (4h+2h / week) + self-study
DETAILS
Study Material
valid for whole curriculum period:
Ian Stewart: Galois Theory (4th edt)
Substitutes for Courses
valid for whole curriculum period:
Prerequisites
valid for whole curriculum period:
FURTHER INFORMATION
Further Information
valid for whole curriculum period:
Teaching Language: English
Teaching Period: 2024-2025 Spring IV
2025-2026 No teaching