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Maps admitting trialities but not dualities

Maps admitting trialities but not dualities
Maps admitting trialities but not dualities
We use group theory to construct infinite families of maps on surfaces which are invariant under Wilson's map operations of order 3 but not under the operations of order 2, such as duality and Petrie duality.
0195-6698
Jones, Gareth
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Poulton, Andrew
d46ce417-416a-4e6a-97bc-21afd950d2ff
Jones, Gareth
fdb7f584-21c5-4fe4-9e57-b58c78ebe3f5
Poulton, Andrew
d46ce417-416a-4e6a-97bc-21afd950d2ff

Jones, Gareth and Poulton, Andrew (2010) Maps admitting trialities but not dualities. European Journal of Combinatorics. (doi:10.1016/j.ejc.2010.02.001).

Record type: Article

Abstract

We use group theory to construct infinite families of maps on surfaces which are invariant under Wilson's map operations of order 3 but not under the operations of order 2, such as duality and Petrie duality.

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Submitted date: 13 November 2009
e-pub ahead of print date: 24 February 2010

Identifiers

Local EPrints ID: 156489
URI: http://eprints.soton.ac.uk/id/eprint/156489
ISSN: 0195-6698
PURE UUID: eee8e36b-6a9c-4625-bc73-26e44492b1ea

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Date deposited: 01 Jun 2010 08:28
Last modified: 14 Mar 2024 01:43

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Contributors

Author: Gareth Jones
Author: Andrew Poulton

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