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University of Gothenburg

Galois Theory

In this course you will study polynomial equations over fields, using group theory. Among other things, we will show that there is no general formula with root expressions for the solutions of polynomial equations of degree five. We do this by classifying algebraic extension fields, using the symmetric groups of the…

  • Higher education
  • Information unavailable
  • 3 November 2025
  • Information unavailable
  • Information unavailable
  • 50 %

Overview

In this course you will study polynomial equations over fields, using group theory. Among other things, we will show that there is no general formula with root expressions for the solutions of polynomial equations of degree five. We do this by classifying algebraic extension fields, using the symmetric groups of the fields. As a byproduct, we will determine which of the regular polygons can be constructed with compass and ruler.

Admission scores

Uppgift saknasVerified data is not connected to this education offering.

Entry requirements

Knowledge equivalent to 90 credits in mathematics, including the course MMG500 Algebraic Structures.

The text is reproduced from the Susa source. Antagningsdata does not map GY11 and GY25 or assess personal eligibility.

Source, measure and data quality
Source
Skolverket Susa-navet
Period
2025-11-03
Measure
Entry-requirement text reproduced from the published Susa data; no personal eligibility assessment is made.
Population
Education offering e.uoh.gu.mma310.17004.20252
Last checked
2026-09-23T10:36:59.285029+00:00
Limitation
Antagningsdata does not map GY11 and GY25. General and specific conditions are not separated without structured source data.

Programme content

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Study structure

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Application and important dates

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  2. Programme or course ends

Salary and salary distribution

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Common occupations after graduation

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Students

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Geographical background

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Previous upper-secondary schools and programmes

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Completion and outcomes

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About the provider

University of Gothenburg

Provider for the published education offering.

Sources and data quality

Education facts for the selected offering come from Skolverket Susa-navet.

Retrieved . Published . Times are shown in Swedish local time.

Source identity and publication version
Publication version
8e217193-f5fa-4778-b085-a4521fd03e8d
Education identity in the source
i.uoh.gu.mma310.17004.20252
Offering identity in the source
e.uoh.gu.mma310.17004.20252
Education-form source code
HS
Education code in the source
MMA310
Change time according to the source
2025-11-07T06:37:38

The provider, education and education offering are separate identities. Application information should be checked on the official website. Supplementary statistics have not been obtained from this source.