Algebras – Associative

Orders and Arithmetic

16Hxx

1. Werner Bley and Henri Johnston, Computing generators of free modules over orders in group algebras, J. Algebra 320 (2008), no. 2, 836–852.^[MR]
2. Emmanuel Hallouin and Christian Maire, Cancellation in totally definite quaternion algebras, J. Reine Angew. Math. 595 (2006), 189–213.^[MR]
3. Markus Kirschmer and John Voight, Algorithmic enumeration of ideal classes for quaternion orders, SIAM J. Comput 39 (2010), no. 5, 1714–1747.
4. John Voight, Quadratic Forms and Quaternion Algebras: Algorithms and Arithmetic, PhD Thesis, Berkeley, 2005.