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Graphical Frobenius representations of non-abelian groups
2020
Ars Mathematica Contemporanea
A group G has a Frobenius graphical representation (GFR) if there is a simple graph Γ whose full automorphism group is isomorphic to G acting on the vertices as a Frobenius group. In particular, any group G with a GFR is a Frobenius group and Γ is a Cayley graph. By very recent results of Spiga, there exists a function f such that if G is a finite Frobenius group with complement H and |G| > f (|H|) then G admits a GFR. This paper provides an infinite family of graphs that admit GFRs despite not
doi:10.26493/1855-3974.2154.cda
fatcat:xie5pit7e5gb5gdufc2yswuwvq