Computing residue class rings and Picard groups of orders
J. Klüners, S. Pauli, Journal of Algebra 292 (2005) 47–64.
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Journal Article
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| English
Author
Klüners, JürgenLibreCat;
Pauli, Sebastian
Department
Abstract
Let K be a global field and O be an order of K. We develop algorithms for the computation of the unit group of residue class rings for ideals O in . As an application we show how to compute the unit group and the Picard group of O provided that we are able to compute the unit group and class group of the maximal order O of K.
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Journal Title
Journal of Algebra
Volume
292
Issue
1
Page
47-64
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Cite this
Klüners J, Pauli S. Computing residue class rings and Picard groups of orders. Journal of Algebra. 2005;292(1):47-64. doi:10.1016/j.jalgebra.2005.04.013
Klüners, J., & Pauli, S. (2005). Computing residue class rings and Picard groups of orders. Journal of Algebra, 292(1), 47–64. https://doi.org/10.1016/j.jalgebra.2005.04.013
@article{Klüners_Pauli_2005, title={Computing residue class rings and Picard groups of orders}, volume={292}, DOI={10.1016/j.jalgebra.2005.04.013}, number={1}, journal={Journal of Algebra}, publisher={Elsevier BV}, author={Klüners, Jürgen and Pauli, Sebastian}, year={2005}, pages={47–64} }
Klüners, Jürgen, and Sebastian Pauli. “Computing Residue Class Rings and Picard Groups of Orders.” Journal of Algebra 292, no. 1 (2005): 47–64. https://doi.org/10.1016/j.jalgebra.2005.04.013.
J. Klüners and S. Pauli, “Computing residue class rings and Picard groups of orders,” Journal of Algebra, vol. 292, no. 1, pp. 47–64, 2005, doi: 10.1016/j.jalgebra.2005.04.013.
Klüners, Jürgen, and Sebastian Pauli. “Computing Residue Class Rings and Picard Groups of Orders.” Journal of Algebra, vol. 292, no. 1, Elsevier BV, 2005, pp. 47–64, doi:10.1016/j.jalgebra.2005.04.013.
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