Combinatorial categories and permutation groups

DOI10.26493/1855-3974.545.fd5zbMath1395.20002arXiv1309.6119OpenAlexW2123160856WikidataQ129365675 ScholiaQ129365675MaRDI QIDQ2827777

Gareth A. Jones

Publication date: 21 October 2016

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

Full work available at URL: https://arxiv.org/abs/1309.6119

zbMATH Keywords

categoryregular mappermutation groupcovering spaceregular hypermap

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Covering spaces and low-dimensional topology (57M10) Planar graphs; geometric and topological aspects of graph theory (05C10) Special categories (18B99) Connections of group theory with homological algebra and category theory (20J99) Group actions on combinatorial structures (05E18)

Related Items (9)

Characters of twisted fractional linear groups ⋮ Enumeration of regular maps of given type on twisted linear fractional groups ⋮ Orientable and non-orientable regular maps with given exponent group ⋮ Voltage lifts of graphs from a category theory viewpoint ⋮ Automorphism groups of maps, hypermaps and dessins ⋮ Orientably-Regular Maps on Twisted Linear Fractional Groups ⋮ Some results on Hecke and extended Hecke groups ⋮ Regular self-dual and self-Petrie-dual maps of arbitrary valency ⋮ Realisation of groups as automorphism groups in permutational categories

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