The graphic nature of the symmetric group

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

doi:10.1080/10586458.2013.833431

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 journal › Article › peer-review

8 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	421-442
Number of pages	22
Journal	Experimental Mathematics
Volume	22
Issue number	4
DOIs	https://doi.org/10.1080/10586458.2013.833431
State	Published - Oct 2 2013
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

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

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10.1080/10586458.2013.833431

Cite this

@article{ac2e5283268c455fba5cfa8a04967fc7,

title = "The graphic nature of the symmetric group",

abstract = "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.",

keywords = "abelian group, dihedral group, exponential sum, group action, orbits, supercharacter, symmetric group",

author = "Brumbaugh, \{J. L.\} and Madeleine Bulkow and \{Garcia German\}, \{Luis Alberto\} and Garcia, \{Stephan Ramon\} and Matt Michal and Turner, \{Andrew P.\}",

note = "Funding Information: This research was was supported in part by NSF Grants DMS-1001614 and DMS-1265973. We also gratefully acknowledge the support of the Fletcher Jones Foundation and Pomona College{\textquoteright}s SURP Program.",

year = "2013",

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doi = "10.1080/10586458.2013.833431",

language = "English (US)",

volume = "22",

pages = "421--442",

journal = "Experimental Mathematics",

issn = "1058-6458",

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TY - JOUR

T1 - The graphic nature of the symmetric group

AU - Brumbaugh, J. L.

AU - Bulkow, Madeleine

AU - Garcia German, Luis Alberto

AU - Garcia, Stephan Ramon

AU - Michal, Matt

AU - Turner, Andrew P.

N1 - Funding Information: This research was was supported in part by NSF Grants DMS-1001614 and DMS-1265973. We also gratefully acknowledge the support of the Fletcher Jones Foundation and Pomona College’s SURP Program.

PY - 2013/10/2

Y1 - 2013/10/2

N2 - 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.

AB - 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.

KW - abelian group

KW - dihedral group

KW - exponential sum

KW - group action

KW - orbits

KW - supercharacter

KW - symmetric group

UR - https://www.scopus.com/pages/publications/84890408886

UR - https://www.scopus.com/pages/publications/84890408886#tab=citedBy

U2 - 10.1080/10586458.2013.833431

DO - 10.1080/10586458.2013.833431

M3 - Article

AN - SCOPUS:84890408886

SN - 1058-6458

VL - 22

SP - 421

EP - 442

JO - Experimental Mathematics

JF - Experimental Mathematics

IS - 4

ER -

The graphic nature of the symmetric group

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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