Title: Reduction and regular $t$-balanced Cayley maps on split metacyclic 2-groups,
Abstract: A regular $t$-balanced Cayley map (RBCM$_t$ for short) on a group $\Gamma$ is
an embedding of a Cayley graph on $\Gamma$ into a surface with some special
symmetric properties. We propose a reduction method to study RBCM$_t$'s, and as
a first practice, we completely classify RBCM$_t$'s for a class of split
metacyclic 2-groups.