An algorithm for the principal ideal problem in indefinite quaternion algebras
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Publication:2878848
DOI10.1112/S1461157014000321zbMath1369.11105arXiv1405.6674MaRDI QIDQ2878848
Publication date: 5 September 2014
Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1405.6674
Algebraic number theory computations (11Y40) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Class groups and Picard groups of orders (11R65)
Related Items (3)
Computation of lattice isomorphisms and the integral matrix similarity problem ⋮ Ideal classes of orders in quaternion algebras ⋮ Computing isomorphisms between lattices
Cites Work
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- Computing fundamental domains for Fuchsian groups
- The Magma algebra system. I: The user language
- Computing residue class rings and Picard groups of orders
- The probability of generating a finite classical group
- Corrigendum: Algorithmic Enumeration of Ideal Classes for Quaternion Orders
- Explicit Methods for Hilbert Modular Forms
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