Computing unit groups of cyclotomic fields and integral abelian group rings

The page contains Magma programs for computing the units of cyclotomic fields of small orders (<130), and for computing the unit groups of integral group rings of small abelian groups.

The algorithms are described in the paper Paolo Faccin, Willem de Graaf and Wilhelm Plesken, Computing generators of the unit group of an integral abelian group ring, Journal of Algebra, 373, 441--452 (2013).

The files are: At the top of the files the provided functions are explained, and illustrated by an example.