Abstract
A regular balanced Cayley map (RBCM for short) on a finite group Γ is an embedding of a Cayley graph on Γ into a surface, with some special symmetric property. People have classified RBCM’s for cyclic, dihedral, generalized quaternion, dicyclic, and semi-dihedral groups. In this paper we classify RBCM’s on the group PSL(2,p) for each prime number p>3.
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