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Ideal classes of orders in quaternion algebras

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1-s2.0-S002240492400046X-main.pdf (519.46 KB)

Publication date

2024-07

Authors

Marseglia, StefanoISNI 0000000506826070
Smit, HarryISNI 0000000493301792
Voight, John

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DOI

https://doi.org/10.1016/j.jpaa.2024.107649

Document Type

Article

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Utrecht University Repository
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Abstract

We provide an algorithm that, given any order O in a quaternion algebra over a global field, computes representatives of all right equivalence classes of right O-ideals, including the non-invertible ones. The theory is developed for a more general kind of algebras.

Keywords

Algorithms, Ideal classes, Orders, Quaternion algebras, Algebra and Number Theory

Citation

Marseglia, S, Smit, H & Voight, J 2024, 'Ideal classes of orders in quaternion algebras', Journal of Pure and Applied Algebra, vol. 228, no. 7, 107649. https://doi.org/10.1016/j.jpaa.2024.107649

URI

https://dspace.library.uu.nl/handle/1874/437545