The Graphic Nature of the Symmetric Group

DOI10.1080/10586458.2013.833431zbMath1294.20013arXiv1305.4913OpenAlexW2022892866MaRDI QIDQ5415567

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

Publication date: 13 May 2014

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.4913

zbMATH Keywords

symmetric groupsexponential sumsorbitsgroup actionsdihedral groupssupercharacters

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Trigonometric and exponential sums (general theory) (11L03) Symmetric groups (20B30)

Related Items (6)

Supercharacters and the discrete Fourier, cosine, and sine transforms ⋮ Supercharacters, exponential sums, and the uncertainty principle. ⋮ Visual properties of generalized Kloosterman sums ⋮ Lateral Movement in Undergraduate Research: Case Studies in Number Theory ⋮ A supercharacter approach to Heilbronn sums ⋮ Supercharacters and mixed moments of Kloosterman sums

Uses Software

• Mathematica

Cites Work

• Supercharacters, exponential sums, and the uncertainty principle.
• Classical Kloosterman sums: representation theory, magic squares, and Ramanujan multigraphs
• Basic characters of the unitriangular group
• Ramanujan sums as supercharacters
• Basic characters of the unitriangular group (for arbitrary primes)
• Mean eigenvalues for simple, simply connected, compact Lie groups
• The graphic nature of Gaussian periods
• Upper and Lower Semimodularity of the Supercharacter Theory Lattices of Cyclic Groups
• Supercharacters and superclasses for algebra groups
• The basic character table of the unitriangular group

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