Frucht’s theorem and automorphism groups of field extensions over Q

Speaker: Jayakumar.R (PhD student, IMSc Chennai)

Date: 2nd April, 2019

Time: 9:15pm-10:15pm



Abstract: In this talk, We will see the Cayley’s colour graphs and we will prove Frucht’s theorem which says “Given any finite group G there exists a connected simple graph X whose graph automorphism group is isomorphic  to G”. Then if time permits I will try to give an idea of proof of the interesting problem “Given any finite group there exists a finite extension over rational numbers whose automorphism group is isomorphic to the given group” using the Frucht’s theorem to find such extensions.


Prerequisite: Basic Graph Theory.


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