Über die zentrale Picard-Gruppe und die Einheiten lokaler Quaternionenordungen

DOI10.1007/BF01171492zbMath0564.12021MaRDI QIDQ1057936

Otto Körner

Publication date: 1985

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155084

zbMATH Keywords

unitsorderclass numberslocal fieldlocal densitiesquaternion algebraternary quadratic formsgroup indexcentral Picard groupnorms of primitive ideals

Mathematics Subject Classification ID

Class numbers of quadratic and Hermitian forms (11E41) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Algebras and orders, and their zeta functions (11S45) Quadratic forms over local rings and fields (11E08)

Related Items (4)

GENERATORS OF ARITHMETIC QUATERNION GROUPS AND A DIOPHANTINE PROBLEM ⋮ Traces of Eichler-Brandt matrices and type numbers of quaternion orders ⋮ Variations of mass formulas for definite division algebras ⋮ The \(g\)-adic density of ternary quadratic forms with respect to the central Picard group of local quaternion orders

Cites Work

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• Einklassige Geschlechter totalpositiver quadratischer Formen in totalreellen algebraischen Zahlkörpern
• Explicit formula of the traces of Hecke operators for \(\Gamma_0(N)\)
• Über die analytische Theorie der quadratischen Formen. III
• Zur Zahlentheorie der Quaternionen-Algebren.
• Ordnungen von Quaternionenalgebren über lokalen Körpern.
• On the arithmetic of quaternion algebras
• The Picard Group of Noncommutative Rings, in Particular of Orders
• Type numbers of Eichler orders.
• Ternäre und quaternäre quadratische Formen und Quaternionenalgebren
• Submodules of Quaternion Algebras
• Integral representations over local fields and the number of genera of quadratic forms

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