Cancellation in totally definite quaternion algebras

DOI10.1515/CRELLE.2006.048zbMath1100.15007OpenAlexW2084201387MaRDI QIDQ5479407

Emmanuel Hallouin, Christian Maire

Publication date: 7 July 2006

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle.2006.048

zbMATH Keywords

invariantstotally definite quaternion algebrascancellation propertyEichler ordersdiscriminant bounds

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Zeta functions and (L)-functions (11S40) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (6)

On the special linear group over orders in quaternion division algebras ⋮ Computing isomorphisms between lattices ⋮ Factorizations in Bounded Hereditary Noetherian Prime Rings ⋮ Computing generators of free modules over orders in group algebras II ⋮ Factorizations of Elements in Noncommutative Rings: A Survey ⋮ Unit groups of maximal orders in totally definite quaternion algebras over real quadratic fields

Cites Work

• Projective modules over group rings and maximal orders
• The binary polyhedral groups, and other generalizations of the quaternion group

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