Regular $t$-balanced Cayley maps on split metacyclic $2$-groups

Abstract

A regular $t$-balanced Cayley map on a group $\Gamma$ is an embedding of a Cayley graph on $\Gamma$ into a surface with certain special symmetric properties. We completely classify regular $t$-balanced Cayley maps for a class of split metacyclic $2$-groups.

arXiv comment15 pages