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Marcus Ibrahim: Permutationsgrupper

Independent project for mathematics teachers

Tid: Fr 2025-08-29 kl 14.30 - 15.30

Plats: Cramér meeting room, Albano building 1

Respondent: Marcus Ibrahim

Handledare: Håkan Granath

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Abstract

The purpose of this project is to provide a thorough introduction to permutation groups, which are central to group theory, by gradually building up the theory of groups and permutations using concepts such as group action, orbits, stabilizers, blocks, and primitivity. The project combines theory with practical algorithms implemented in Python, which the reader has access to. This enables interactive learning and further exploration of the subject.