• RecordNumber
    3642
  • Author

    Zimmerman, Jay

  • Crop_Body
    Jay Zimmerman
  • Title of Article

    Portraits of Groups on Bordered Surfaces

  • Title Of Journal
    Bridges
  • Publication Year
    2016
  • Abstract
    This paper looks at representing a group G as a group of transformations of an orientable compact bordered Klein surface. We construct visual representations (portraits) of three groups S4, Z2  S3 and a group L* of order 32. These groups have real genus 3, 2 and 5 respectively. The first two groups are M*-groups; which means that they act on surfaces with maximal symmetry. They are also the only solvable M* - simple groups.