The generalized Rédei-matrix for function fields

DOI10.1016/j.ffa.2012.01.004zbMath1292.11130OpenAlexW2047823170MaRDI QIDQ439084

Sunghan Bae, Su Hu, Hwanyup Jung

Publication date: 1 August 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2012.01.004

zbMATH Keywords

function fieldclass groupsArtin-Schreier extensions\(4\)-ranksexact hexagonHilbert symbolsnorm residuesRédei matrix

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class groups and Picard groups of orders (11R65)

Related Items (5)

HILBERT ℓ-CLASS FIELD TOWERS OF IMAGINARY ℓ-CYCLIC FUNCTION FIELDS ⋮ Tangent-Chebyshev maps over finite fields: new properties and functional graphs ⋮ 3-Class groups of cubic cyclic function fields ⋮ Infinite families of cyclotomic function fields with any prescribed class group rank ⋮ GENUS FIELDS OF CYCLIC l-EXTENSIONS OF RATIONAL FUNCTION FIELDS

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• Tame kernels for biquadratic number fields
• Remarks on the validity of Hasse's norm theorem
• On 2-Sylow Subgroups of Tame Kernels
• Generalising the GHS Attack on the Elliptic Curve Discrete Logarithm Problem

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