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. MSC classification: Primary 05C25, secondary 05C10, 20B25.

• Type: Journal
• Year: 2010
• Where: EJC
• Authors: Gareth A. Jones, Andrew Poulton
• Keywords: EJC 2007, EJC 2010, Group Theory, Infinite Families, Map Operations