Mathematics – Combinatorics
Scientific paper
2011-10-27
Mathematics
Combinatorics
22 pages plus appendix, 10 figures
Scientific paper
Among all equivelar vertex-transitive maps on a given closed surface S, the automorphism groups of maps with Schl\"afli types {3, 7} and {7, 3} allow the highest possible order. We describe a procedure to transform all such maps into 1- or 2-orbit maps, whose symmetry type has been previously studied. In so doing we provide a procedure to determine all vertex-transitive maps with Schl\"afli type {3, 7} which are neither regular or chiral. We determine all such maps on surfaces with Euler characteristic -1 \geq \c{hi} \geq -40.
No associations
LandOfFree
Vertex-transitive maps with Schläfli type {3, 7} does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Vertex-transitive maps with Schläfli type {3, 7}, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vertex-transitive maps with Schläfli type {3, 7} will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-375385