The graphic nature of the symmetric group

J. L. Brumbaugh, Madeleine Bulkow, Luis Alberto Garcia German, Stephan Ramon Garcia, Matt Michal, Andrew P. Turner

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We investigate a remarkable class of exponential sums that are derived from the symmetric groups and that display a diverse array of visually appealing features. Our interest in these expressions stems not only from their astounding visual properties, but also from the fact that they represent a novel and intriguing class of supercharacters.

Original languageEnglish (US)
Pages (from-to)421-442
Number of pages22
JournalExperimental Mathematics
Issue number4
StatePublished - Oct 2 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • abelian group
  • dihedral group
  • exponential sum
  • group action
  • orbits
  • supercharacter
  • symmetric group


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