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• W1986815237 abstract "A map is a 2-cell decomposition of a closed surface. A map on an orientable surface is called regular if its group of orientation-preserving automorphisms acts transitively on the set of darts (edges endowed with an orientation). In this paper we investigate regular maps which are regular covers over platonic maps with a cyclic group of covering transformations. We describe all such maps in terms of parametrised group presentations. This generalises the work of Jones and Surowski [G.A. Jones, D.B. Surowski, Cyclic regular coverings of the Platonic maps, European J. Combin. 21 (2000) 333-345] classifying the cyclic regular coverings over platonic maps with branched points exclusively at vertices, or at face-centres." @default.
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• W1986815237 date "2014-02-01" @default.
• W1986815237 modified "2023-10-17" @default.
• W1986815237 title "Branched cyclic regular coverings over platonic maps" @default.
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• W1986815237 doi "https://doi.org/10.1016/j.ejc.2013.09.006" @default.
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