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Computation of locally free class groups

Bley, Werner
Boltje, Robert

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.

Classification / Keywords
Sponsor
Research supported by the DFG Research supported by the NSF, DMS-0200592 and 0128969
Citation
In: Mathematische Schriften Kassel 06, 01 / (2006) , S. ; 
@article{urn:nbn:de:hebis:34-2006110215433,
  author    ={Bley, Werner and Boltje, Robert},
  title    ={Computation of locally free class groups},
  copyright  ={https://rightsstatements.org/page/InC/1.0/},
  language ={en},
  year   ={2006}
}