The Graphic Nature of the Symmetric Group

Authors

J.L. Brumbaugh '13, Pomona College
Madeleine Bulkow '14, Scripps College
Luis Alberto Garcia '14, Pomona College
Stephan Ramon Garcia, Pomona CollegeFollow
Matt Michal '15, Claremont Graduate University
Andrew P. Turner '14, Harvey Mudd College

Student Co-author

HMC Undergraduate, Pomona Undergraduate, Scripps Undergraduate, CGU Graduate

Document Type

Article - preprint

Department

Mathematics (Pomona)

Publication Date

2013

Keywords

exponential sums, symmetric groups

Abstract

We investigate a remarkable class of exponential sums which are derived from the symmetric groups and which 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.

Comments

Pre-print from arXiv:

Brumbaugh, J.L., Bulkow, M., Garcia, L.A., Garcia, S.R., Michal, M., Turner, A.P., The graphic nature of the symmetric group, (submitted). http://arxiv.org/abs/1305.4913

Rights Information

© 2013 J.L. Brumbaugh, Madeleine Bulkow, Luis Alberto Garia, Stephan Ramon Garcia, Matt Michal, Andrew P. Turner

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Recommended Citation

Brumbaugh, J.L. '13; Bulkow, Madeleine '14; Garcia, Luis Alberto '14; Garcia, Stephan Ramon; Michal, Matt '15; and Turner, Andrew P. '14, "The Graphic Nature of the Symmetric Group" (2013). Pomona Faculty Publications and Research. 233.
https://scholarship.claremont.edu/pomona_fac_pub/233