Maps admitting trialities but not dualities

Authors:
Gareth A. Jones;Andrew Poulton
Affiliations:
School of Mathematics, University of Southampton, Southampton SO17 1BJ, UK;School of Mathematics, University of Southampton, Southampton SO17 1BJ, UK
Venue:
European Journal of Combinatorics
Year:
2010

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Introduction to finite fields and their applications

Introduction to finite fields and their applications
Regular maps and hypermaps of Euler characteristic -1 to -200

Journal of Combinatorial Theory Series B

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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.