Gauss sums on finite groups

DOI10.3836/TJM/1342701349zbMath1272.11134OpenAlexW2000490187MaRDI QIDQ447811

Yasushi Gomi, Ken-ichi Shinoda, Taiki Maeda

Publication date: 29 August 2012

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tjm/1342701349

zbMATH Keywords

finite groupclassical Gauss sumsGauss sums on complex reflection groupsGauss sums on finite exceptional Weyl groupsgeneralized Gauss sum on finite groupordinary and modular representations

Mathematics Subject Classification ID

Exponential sums (11T23) Gauss and Kloosterman sums; generalizations (11L05)

Related Items (1)

Gauss sums on \(\mathrm{GL}_2(\mathbb Z/p^l\mathbb Z)\)

Uses Software

• CHEVIE

Cites Work

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• CHEVIE -- A system for computing and processing generic character tables
• On Gaussian sums attached to the general linear groups over finite fields
• Gauss sums for O⁺(2n,q)
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Character sums attached to finite reductive groups
• Some character sums and Gauss sums over \(G_2(q)\).
• A \(q\)-Cauchy identity for Schur functions and imprimitive complex reflection groups.

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