Regular balanced Cayley maps on ${\rm PSL}(2,p)$
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arXiv
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| Format: | Preprint |
| Publié: |
2016
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| _version_ | 1866929255059816448 |
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| author | Chen, Haimiao |
| author_facet | Chen, Haimiao |
| contents | A {\it regular balanced Cayley map} (RBCM for short) on a finite group $Γ$ is an embedding of a Cayley graph on $Γ$ into a surface, with some special symmetric property. People have classified RBCM's for cyclic, dihedral, generalized quaternion, dicyclic, and semi-dihedral groups. In this paper we classify RBCM's on the group ${\rm PSL}(2,p)$ for each prime number $p>3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1601_05251 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Regular balanced Cayley maps on ${\rm PSL}(2,p)$ Chen, Haimiao Combinatorics Group Theory A {\it regular balanced Cayley map} (RBCM for short) on a finite group $Γ$ is an embedding of a Cayley graph on $Γ$ into a surface, with some special symmetric property. People have classified RBCM's for cyclic, dihedral, generalized quaternion, dicyclic, and semi-dihedral groups. In this paper we classify RBCM's on the group ${\rm PSL}(2,p)$ for each prime number $p>3$. |
| title | Regular balanced Cayley maps on ${\rm PSL}(2,p)$ |
| topic | Combinatorics Group Theory |
| url | https://arxiv.org/abs/1601.05251 |