Bulletin of the
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BKMS

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Bull. Korean Math. Soc. 2024; 61(1): 13-27

Online first article January 18, 2024      Printed January 31, 2024

https://doi.org/10.4134/BKMS.b220811

Copyright © The Korean Mathematical Society.

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

Haimiao Chen, Jingrui Zhang

Beijing Technology and Business University; Beijing Technology and Business University

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.

Keywords: Regular Cayley map, $t$-balanced, split metacyclic $2$-group, reduction

MSC numbers: Primary 05C25, 05C10, 20B25

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