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

Haimiao Chen; Jingrui Zhang

doi:10.4134/BKMS.b220811

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

Combinatorics 2024-02-09 v3 Group Theory

Authors: Haimiao Chen , Jingrui Zhang

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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.

Keywords

cayley graphs graph theory of groups mapping class groups

Cite

@article{arxiv.1702.08351,
  title  = {Regular $t$-balanced Cayley maps on split metacyclic $2$-groups},
  author = {Haimiao Chen and Jingrui Zhang},
  journal= {arXiv preprint arXiv:1702.08351},
  year   = {2024}
}

Comments

15 pages

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