Maps admitting trialities but not dualities
Combinatorics
2009-11-16 v1 Group Theory
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.
Cite
@article{arxiv.0911.2672,
title = {Maps admitting trialities but not dualities},
author = {Gareth A. Jones and Andrew Poulton},
journal= {arXiv preprint arXiv:0911.2672},
year = {2009}
}
Comments
19 pages, 1 figure