Finite simple automorphism groups of edge-transitive maps
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Publication:6372529
DOI10.1016/J.JALGEBRA.2021.07.038zbMATH Open1517.20006arXiv2107.05137MaRDI QIDQ6372529
Publication date: 11 July 2021
Abstract: Building on earlier results for regular maps and for orientably regular chiral maps, we classify the non-abelian finite simple groups arising as automorphism groups of maps in each of the 14 Graver-Watkins classes of edge-transitive maps.
Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Planar graphs; geometric and topological aspects of graph theory (05C10) Finite simple groups and their classification (20D05)
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