A Portrait of a Quadrilateral Group

Year: 2011 Authors: Jay Zimmerman

Core claim

A group G of order 16 can be realized on the smallest possible genus-3 compact surface as a quadrilateral-group portrait, and this action is not the automorphism group of a regular map.

Topics

group portrait, genus 3 surface, quadrilateral group, compact surface, regular map

Domains

group theory, topological graph theory, surface genus, geometric group actions, Coxeter groups, mathematical visualization, diagrammatic art, surface model

Methods

quotient group construction, polygonal representation, curve labeling, Euler characteristic calculation, computer verification

Media

plane diagram, cardboard model, colored curves, artistic surface model

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.