Cohomological constructions of regular cyclic coverings of the Platonic maps

DOI10.1006/eujc.1999.0331zbMath0946.05067OpenAlexW2052043448MaRDI QIDQ1972360

David B. Surowski, Gareth A. Jones

Publication date: 18 October 2000

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/018fbe281dc554860045b744ace386fa4c9e20dd

zbMATH Keywords

cohomologyregular maps and hypermapsPlatonic mapsregular cyclic coverings

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)

Related Items

Homological methods in algebraic map theory. ⋮ Regular cyclic coverings of regular affine maps. ⋮ Branched cyclic regular coverings over Platonic maps ⋮ Regular cyclic coverings of the Platonic maps ⋮ Non-abelian almost totally branched coverings over the Platonic maps ⋮ Elementary abelian regular coverings of Platonic maps ⋮ Classifying cubic symmetric graphs of order \(8p\) or \(8p^2\)

Cites Work

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• Maps, hypermaps and their automorphisms: A survey. III
• Regular cyclic coverings of the Platonic maps
• Liftings of automorphisms of hypermaps
• Homology of Hypermaps
• On the Number of Automorphisms of a Closed Riemann Surface