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Finite simple automorphism groups of edge-transitive maps

Finite simple automorphism groups of edge-transitive maps
Finite simple automorphism groups of edge-transitive maps

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.

Automorphism group, Edge-transitive map, Finite simple group
0021-8693
Jones, Gareth A.
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Jones, Gareth A.
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5

Jones, Gareth A. (2021) Finite simple automorphism groups of edge-transitive maps. Journal of Algebra. (doi:10.1016/j.jalgebra.2021.07.038).

Record type: Article

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.

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2107.05137 - Accepted Manuscript
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More information

Accepted/In Press date: 19 August 2021
e-pub ahead of print date: 19 August 2021
Keywords: Automorphism group, Edge-transitive map, Finite simple group

Identifiers

Local EPrints ID: 453615
URI: http://eprints.soton.ac.uk/id/eprint/453615
ISSN: 0021-8693
PURE UUID: 6b2c9623-2eca-4031-a087-3814dbd7a79b

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Date deposited: 20 Jan 2022 17:39
Last modified: 17 Mar 2024 06:59

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Contributors

Author: Gareth A. Jones

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