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

Haimiao Chen; Jingrui Zhang

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

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arxiv 1702.08351 v3 pith:C2KYE6QH submitted 2017-02-27 math.CO math.GR

Haimiao Chen , Jingrui Zhang This is my paper · ORCID

classification math.COmath.GR

keywords cayleybalancedregulargammagroupsmapsmetacyclicsplit

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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.

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