On quaternion algebras over some extensions of quadratic number fields

DOI10.1007/s40590-021-00365-9zbMath1471.11283arXiv2004.01040OpenAlexW3193403225MaRDI QIDQ2233386

Diana Savin, Mohammed Taous, Abdelkader Zekhnini, Vincenzo Acciaro

Publication date: 18 October 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.01040

zbMATH Keywords

quadratic fieldsquaternion algebrasHilbert class fielddihedral extension

Mathematics Subject Classification ID

Finite-dimensional division rings (16K20) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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• Kummer spaces in symbol algebras of prime degree
• Polynomials with \(D_ p \)as Galois group
• Norms in central simple algebras
• Tensor products of division algebras and fields.
• About special elements in quaternion algebras over finite fields
• An Embedding Theorem for Quaternion Algebras
• Quaternion Orders, Quadratic Forms, and Shimura Curves
• On quaternion algebras over the composite of quadratic number fields
• Symbol length of p-algebras of prime exponent

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