Peer-Reviewed Journal Details
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Detinko, AS,Flannery, DL
Journal Of Symbolic Computation
Algorithms for computing with nilpotent matrix groups over infinite domains
Optional Fields
matrix group nilpotency testing nilpotent group infinite field LINEAR-GROUPS SUBGROUPS GL(N,Q)
We develop methods for computing with matrix groups defined over a range of infinite domains, and apply those methods to the design of algorithms for nilpotent groups. In particular, we provide a practical nilpotency testing algorithm for matrix groups over an infinite field. We also provide algorithms to answer a number of structural questions for a nilpotent matrix group. The main algorithms have been implemented in GAP, for groups over the rational number field. (c) 2007 Elsevier Ltd. All rights reserved.
DOI 10.1016/j.jsc.2007.08.001
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