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

Jones, Gareth

Poulton, Andrew

Southampton (e-Prints Soton)

English

Endliche Gruppen I, Springer-Verlag,

Finite Groups,

Finite Simple Groups,

Foundations of the theory of maps on surfaces with boundary,

Generators and Relations for Discrete Groups,

Introduction to Finite Fields and their Applications (revised ed.),

Operations on maps, and outer automorphisms,

Operators over regular maps,

Parallel products in groups and maps,

private communication,

Regular maps and hypermaps of Euler characteristic −1 to −200,

Topics in Galois Theory,

Maps admitting trialities but not dualities

Maps admitting trialities but not dualities

Abstract

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Southampton (e-Prints Soton)

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