AMCA: Computing residue class rings and Picard groups of orders by Sebastian Pauli

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Canadian Number Theory Association VIII Meeting
June 20-25, 2004
The Fields Institute
Toronto, ON, Canada

Organizers
John Friedlander (Toronto) and Cam Stewart (Waterloo)

Computing residue class rings and Picard groups of orders
by
Sebastian Pauli
TU Berlin
Coauthors: Jürgen Klüners

Let K be a 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 in O. 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 of K.

Date received: April 20, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # calz-52.