Kursens beskrivning

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: 28.02.2023 - 13.04.2023

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

Substitutes for Courses

• valid for whole curriculum period:

  Substitutes for Courses

Prerequisites

• valid for whole curriculum period:

  Prerequisites

FURTHER INFORMATION

Further Information

• valid for whole curriculum period:

  Teaching Language : English

  Teaching Period : 2022-2023 Spring IV
  2023-2024 No teaching

  Enrollment :

  Registration takes place in Sisu (sisu.aalto.fi).

Beskrivning