Portraits of Groups

Year: 2006 Authors: Jay Zimmerman

Core claim

Finite groups can be represented as labeled region portraits on compact Riemann surfaces using compositions of circle inversions and triangle-group quotients.

Topics

finite groups, Riemann surfaces, triangle groups, group portraits

Domains

group theory, topology, Riemann surfaces, combinatorial group actions, mathematical visualization, diagrammatic design, graphical representation, surface coloring

Methods

circle inversion, region labeling, triangle group quotient, Euler characteristic calculation

Media

Geometer’s SketchPad, colored arcs, compact surfaces, paper figures

Source status

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