This thesis explores basic representation theory of finite groups, covering basic definitions such as irreducible representations. The main part of the work focuses on finding irreducible representations of automorphism groups of simple graphs, in particular for graphs consisting of two identical odd cycle components by using the knowledge of the automorphism group of cycle graphs. Character theory is used to find the irreducible representations.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:kth-348812 |
| Date | January 2024 |
| Creators | Hirschberg, Tuva, Åstradsson, Märta |
| Publisher | KTH, Skolan för teknikvetenskap (SCI) |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | TRITA-SCI-GRU ; 2024:163 |
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