Preprint
Computation of locally free class groups
Abstract
We show that the locally free class group of an order in a semisimple algebra over a number field is isomorphic to a certain ray class group. This description is then used to present an algorithm that computes the
locally free class group. The algorithm is implemented in MAGMA for the case where the algebra is a group ring over the rational numbers.
locally free class group. The algorithm is implemented in MAGMA for the case where the algebra is a group ring over the rational numbers.
Sponsorship
Research supported by the DFG Research supported by the NSF, DMS-0200592 and 0128969Citation
@article{urn:nbn:de:hebis:34-2006110215433,
author={Bley, Werner and Boltje, Robert},
title={Computation of locally free class groups},
year={2006}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2006$n2006 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-2006110215433 3000 Bley, Werner 3010 Boltje, Robert 4000 Computation of locally free class groups / Bley, Werner 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-2006110215433=x R 4204 \$dPreprint 4170 Mathematische Schriften Kassel ;; 06, 01 7136 ##0##urn:nbn:de:hebis:34-2006110215433
2006-11-02T10:35:20Z 2006-11-02T10:35:20Z 2006 urn:nbn:de:hebis:34-2006110215433 http://hdl.handle.net/123456789/2006110215433 Research supported by the DFG Research supported by the NSF, DMS-0200592 and 0128969 261162 bytes application/pdf eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ locally free class groups Algorithmic Number Theory 510 Computation of locally free class groups Preprint We show that the locally free class group of an order in a semisimple algebra over a number field is isomorphic to a certain ray class group. This description is then used to present an algorithm that computes the locally free class group. The algorithm is implemented in MAGMA for the case where the algebra is a group ring over the rational numbers. open access Bley, Werner Boltje, Robert Mathematische Schriften Kassel ;; 06, 01 19A31 16G30 Mathematische Schriften Kassel 06, 01
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