2-Groups that factorise as products of cyclic groups, and regular embeddings of complete bipartite graphs

DOI10.26493/1855-3974.295.270zbMath1309.20010arXiv1112.2376OpenAlexW2168229784WikidataQ129355438 ScholiaQ129355438MaRDI QIDQ2925433

Jin Ho Kwok, Gareth A. Jones, Roman Nedela, Martin Škoviera, Shao-Fei Du

Publication date: 22 October 2014

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.2376

zbMATH Keywords

regular mapsfinite 2-groupscomplete bipartite graphsproducts of cyclic groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

Complete circular regular dessins of type \(\{2^e,2^f\}\). I: metacyclic case ⋮ A classification of orientably edge-transitive circular embeddings of \(\mathbf{K}_{p^e, p^f}\) ⋮ Regular embeddings of \(K_{n,n}\) where \(n\) is a power of 2. II: The non-metacyclic case ⋮ Regular maps with nilpotent automorphism group ⋮ Complete regular dessins and skew-morphisms of cyclic groups ⋮ Complete circular regular dessins of coprime orders ⋮ Bipartite graph embeddings, Riemann surfaces and Galois groups

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