Cohomological constructions of regular cyclic coverings of the Platonic maps
type: Item
instance of: scholarly article
title: Cohomological constructions of regular cyclic coverings of the Platonic maps
zbMATH Open document ID: 0946.05067
author: David B. Surowski
author: Gareth Jones
published in: European Journal of Combinatorics
publication date: 2000-10-18T00:00:00Z
review text: In an earlier paper [Eur. J. Comb. 21, No. 3, 333-345 (2000)] the authors described the regular maps and hypermaps which are cyclic coverings of the Platonic maps (where branch points may occur at vertices, face centers, or midpoints of edges). Here they determine cochains by which these coverings can be explicitly constructed.
Mathematics Subject Classification ID: 05C70
Mathematics Subject Classification ID: 05C10
zbMATH DE Number: 1436086
zbMATH Keywords: Platonic maps
zbMATH Keywords: regular maps and hypermaps
zbMATH Keywords: regular cyclic coverings
zbMATH Keywords: cohomology
reviewed by: Jozef Širáň
MaRDI profile type: Publication
OpenAlex ID: W2052043448
cites work: On the Number of Automorphisms of a Closed Riemann Surface
cites work: Maps, hypermaps and their automorphisms: A survey. III
cites work: Q5343413
cites work: Q4273861
cites work: Regular cyclic coverings of the Platonic maps
cites work: Homology of Hypermaps
cites work: Liftings of automorphisms of hypermaps
DOI: 10.1006/EUJC.1999.0331
description: scientific article; zbMATH DE number 1436086