Peer-Reviewed Journal Details
Mandatory Fields
A. S. Detinko, D. L. Flannery, E. A. O'Brien
2013
Unknown
Journal Of Algebra
Algorithms for linear groups of finite rank
Published
()
Optional Fields
393
187
196
Let $G$ be a finitely generated solvable-by-finite linear group.We present an algorithm to compute the torsion-free rank of $G$and a bound on the Pr\"{u}fer rank of $G$. This yields in turn analgorithm to decide whether a finitely generated subgroup of $G$has finite index. The algorithms are implemented in {\sc Magma}for groups over algebraic number fields.
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