Graphical Frobenius representations of non-abelian groups

A group G has a Frobenius graphical representation (GFR) if there is simple graph ? whose full automorphism isomorphic to acting on the vertices as group. In particular, any with GFR and Cayley graph. By very recent results of Spiga, exists function f such that finite complement H | > (| |) then admits GFR. This paper provides an infinite family graphs admit GFRs despite not meeting Spiga’s bound. our construction, Higman ( , q 0 ) for sequence having nonabelian kernel odd order.