On a supercharacter analog of nilpotent groups

DOI10.1080/00927872.2023.2241909OpenAlexW4385622352MaRDI QIDQ6178431

Fahim Sayed, Gautam Kalita

Publication date: 18 January 2024

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2023.2241909

zbMATH Keywords

nilpotent groupcentral seriessupercharacter theorynormal subgroup

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Series and lattices of subgroups (20D30) Nilpotent groups (20F18) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Supercharacters, exponential sums, and the uncertainty principle.
• A supercharacter analogue for normality.
• Supercharacter theories of semiextraspecial \(p\)-groups and Frobenius groups
• An analog of nilpotence arising from supercharacter theory
• Supercharacters, elliptic curves, and the sixth moment of Kloosterman sums
• Eighth power moment of Kloosterman sum, supercharacters, and elliptic curves
• Supercharacter formulas for pattern groups
• Supercharacters and mixed moments of Kloosterman sums
• Supercharacter Theory Constructions Corresponding to Schur Ring Products
• Supercharacters and superclasses for algebra groups
• The basic character table of the unitriangular group
• Moments of Kloosterman sums, supercharacters, and elliptic curves

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