{ "id": "1305.4913", "version": "v2", "published": "2013-05-21T18:51:49.000Z", "updated": "2013-08-07T14:47:05.000Z", "title": "The graphic nature of the symmetric group", "authors": [ "J. L. Brumbaugh", "Madeleine Bulkow", "Luis Alberto Garcia", "Stephan Ramon Garcia", "Matt Michal", "Andrew P. Turner" ], "comment": "23 pages, many figures. To appear in Experimental Mathematics", "categories": [ "math.NT", "math.GR", "math.RT" ], "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.", "revisions": [ { "version": "v2", "updated": "2013-08-07T14:47:05.000Z" } ], "analyses": { "keywords": [ "symmetric group", "graphic nature", "diverse array", "expressions stems", "astounding visual properties" ], "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1305.4913B" } } }